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Finding the Fourth Proportional to 9,785,319.20, 14,677,978.80 and 8,273,664.80

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Solution

The fourth proportional to 9,785,319.20, 14,677,978.80 and 8,273,664.80 is: 12,410,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785,319.20 : 14,677,978.80 = 8,273,664.80 : x
  2. Step 2: Convert to fraction form
    9,785,319.20/14,677,978.80 = 8,273,664.80/x
  3. Step 3: Cross multiply
    9,785,319.20x = 14,677,978.80 × 8,273,664.80
  4. Step 4: Simplify right side
    9,785,319.20x = 121,440,676,532,706.25
  5. Step 5: Solve for x
    x = 121,440,676,532,706.25/9,785,319.20
  6. Step 6: Final answer
    x = 12,410,497.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.