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Finding the Fourth Proportional to 9,601.10, 14,401.65 and 7,140.73

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Solution

The fourth proportional to 9,601.10, 14,401.65 and 7,140.73 is: 10,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.10 : 14,401.65 = 7,140.73 : x
  2. Step 2: Convert to fraction form
    9,601.10/14,401.65 = 7,140.73/x
  3. Step 3: Cross multiply
    9,601.10x = 14,401.65 × 7,140.73
  4. Step 4: Simplify right side
    9,601.10x = 102,838,294.20
  5. Step 5: Solve for x
    x = 102,838,294.20/9,601.10
  6. Step 6: Final answer
    x = 10,711.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.