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Finding the Fourth Proportional to 9,240.24, 12,752.56 and 5,464.56

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Solution

The fourth proportional to 9,240.24, 12,752.56 and 5,464.56 is: 7,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.24 : 12,752.56 = 5,464.56 : x
  2. Step 2: Convert to fraction form
    9,240.24/12,752.56 = 5,464.56/x
  3. Step 3: Cross multiply
    9,240.24x = 12,752.56 × 5,464.56
  4. Step 4: Simplify right side
    9,240.24x = 69,687,129.27
  5. Step 5: Solve for x
    x = 69,687,129.27/9,240.24
  6. Step 6: Final answer
    x = 7,541.70

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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.