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Finding the Fourth Proportional to 9,952,820.92, 14,900,592.54 and 8,914,280.20

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Solution

The fourth proportional to 9,952,820.92, 14,900,592.54 and 8,914,280.20 is: 13,345,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952,820.92 : 14,900,592.54 = 8,914,280.20 : x
  2. Step 2: Convert to fraction form
    9,952,820.92/14,900,592.54 = 8,914,280.20/x
  3. Step 3: Cross multiply
    9,952,820.92x = 14,900,592.54 × 8,914,280.20
  4. Step 4: Simplify right side
    9,952,820.92x = 132,828,057,047,589.69
  5. Step 5: Solve for x
    x = 132,828,057,047,589.69/9,952,820.92
  6. Step 6: Final answer
    x = 13,345,769.82

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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.