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Finding the Fourth Proportional to 9,729.48, 14,564.04 and 7,865.04

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Solution

The fourth proportional to 9,729.48, 14,564.04 and 7,865.04 is: 11,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.48 : 14,564.04 = 7,865.04 : x
  2. Step 2: Convert to fraction form
    9,729.48/14,564.04 = 7,865.04/x
  3. Step 3: Cross multiply
    9,729.48x = 14,564.04 × 7,865.04
  4. Step 4: Simplify right side
    9,729.48x = 114,546,757.16
  5. Step 5: Solve for x
    x = 114,546,757.16/9,729.48
  6. Step 6: Final answer
    x = 11,773.16

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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.