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Finding the Fourth Proportional to 9,772.13, 14,655.09 and 3,531.31

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Solution

The fourth proportional to 9,772.13, 14,655.09 and 3,531.31 is: 5,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.13 : 14,655.09 = 3,531.31 : x
  2. Step 2: Convert to fraction form
    9,772.13/14,655.09 = 3,531.31/x
  3. Step 3: Cross multiply
    9,772.13x = 14,655.09 × 3,531.31
  4. Step 4: Simplify right side
    9,772.13x = 51,751,724.91
  5. Step 5: Solve for x
    x = 51,751,724.91/9,772.13
  6. Step 6: Final answer
    x = 5,295.85

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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.