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Finding the Fourth Proportional to 9,216.24, 12,718.54 and 5,024.48

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Solution

The fourth proportional to 9,216.24, 12,718.54 and 5,024.48 is: 6,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.24 : 12,718.54 = 5,024.48 : x
  2. Step 2: Convert to fraction form
    9,216.24/12,718.54 = 5,024.48/x
  3. Step 3: Cross multiply
    9,216.24x = 12,718.54 × 5,024.48
  4. Step 4: Simplify right side
    9,216.24x = 63,904,049.86
  5. Step 5: Solve for x
    x = 63,904,049.86/9,216.24
  6. Step 6: Final answer
    x = 6,933.85

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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.