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Finding the Fourth Proportional to 9,243.57, 12,757.56 and 5,887.86

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Solution

The fourth proportional to 9,243.57, 12,757.56 and 5,887.86 is: 8,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.57 : 12,757.56 = 5,887.86 : x
  2. Step 2: Convert to fraction form
    9,243.57/12,757.56 = 5,887.86/x
  3. Step 3: Cross multiply
    9,243.57x = 12,757.56 × 5,887.86
  4. Step 4: Simplify right side
    9,243.57x = 75,114,727.22
  5. Step 5: Solve for x
    x = 75,114,727.22/9,243.57
  6. Step 6: Final answer
    x = 8,126.16

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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.