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Finding the Fourth Proportional to 9,472.13, 14,211.12 and 3,232.14

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Solution

The fourth proportional to 9,472.13, 14,211.12 and 3,232.14 is: 4,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.13 : 14,211.12 = 3,232.14 : x
  2. Step 2: Convert to fraction form
    9,472.13/14,211.12 = 3,232.14/x
  3. Step 3: Cross multiply
    9,472.13x = 14,211.12 × 3,232.14
  4. Step 4: Simplify right side
    9,472.13x = 45,932,366.89
  5. Step 5: Solve for x
    x = 45,932,366.89/9,472.13
  6. Step 6: Final answer
    x = 4,849.21

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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.