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Finding the Fourth Proportional to 9,002.46, 12,424.52 and 5,224.82

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Solution

The fourth proportional to 9,002.46, 12,424.52 and 5,224.82 is: 7,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.46 : 12,424.52 = 5,224.82 : x
  2. Step 2: Convert to fraction form
    9,002.46/12,424.52 = 5,224.82/x
  3. Step 3: Cross multiply
    9,002.46x = 12,424.52 × 5,224.82
  4. Step 4: Simplify right side
    9,002.46x = 64,915,901.41
  5. Step 5: Solve for x
    x = 64,915,901.41/9,002.46
  6. Step 6: Final answer
    x = 7,210.91

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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.