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Finding the Fourth Proportional to 9,242.91, 12,755.75 and 5,706.18

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Solution

The fourth proportional to 9,242.91, 12,755.75 and 5,706.18 is: 7,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.91 : 12,755.75 = 5,706.18 : x
  2. Step 2: Convert to fraction form
    9,242.91/12,755.75 = 5,706.18/x
  3. Step 3: Cross multiply
    9,242.91x = 12,755.75 × 5,706.18
  4. Step 4: Simplify right side
    9,242.91x = 72,786,577.00
  5. Step 5: Solve for x
    x = 72,786,577.00/9,242.91
  6. Step 6: Final answer
    x = 7,874.86

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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.