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Finding the Fourth Proportional to 9,784,951.60, 14,677,427.40 and 3,052,490.80

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Solution

The fourth proportional to 9,784,951.60, 14,677,427.40 and 3,052,490.80 is: 4,578,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784,951.60 : 14,677,427.40 = 3,052,490.80 : x
  2. Step 2: Convert to fraction form
    9,784,951.60/14,677,427.40 = 3,052,490.80/x
  3. Step 3: Cross multiply
    9,784,951.60x = 14,677,427.40 × 3,052,490.80
  4. Step 4: Simplify right side
    9,784,951.60x = 44,802,712,106,167.92
  5. Step 5: Solve for x
    x = 44,802,712,106,167.92/9,784,951.60
  6. Step 6: Final answer
    x = 4,578,736.20

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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.