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Finding the Fourth Proportional to 9,532.98, 13,143.30 and 7,404.90

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Solution

The fourth proportional to 9,532.98, 13,143.30 and 7,404.90 is: 10,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.98 : 13,143.30 = 7,404.90 : x
  2. Step 2: Convert to fraction form
    9,532.98/13,143.30 = 7,404.90/x
  3. Step 3: Cross multiply
    9,532.98x = 13,143.30 × 7,404.90
  4. Step 4: Simplify right side
    9,532.98x = 97,324,822.17
  5. Step 5: Solve for x
    x = 97,324,822.17/9,532.98
  6. Step 6: Final answer
    x = 10,209.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.