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Finding the Fourth Proportional to 9,382.70, 12,937.82 and 6,024.24

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Solution

The fourth proportional to 9,382.70, 12,937.82 and 6,024.24 is: 8,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.70 : 12,937.82 = 6,024.24 : x
  2. Step 2: Convert to fraction form
    9,382.70/12,937.82 = 6,024.24/x
  3. Step 3: Cross multiply
    9,382.70x = 12,937.82 × 6,024.24
  4. Step 4: Simplify right side
    9,382.70x = 77,940,502.64
  5. Step 5: Solve for x
    x = 77,940,502.64/9,382.70
  6. Step 6: Final answer
    x = 8,306.84

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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.