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Finding the Fourth Proportional to 9,230.04, 12,738.13 and 5,252.43

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Solution

The fourth proportional to 9,230.04, 12,738.13 and 5,252.43 is: 7,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.04 : 12,738.13 = 5,252.43 : x
  2. Step 2: Convert to fraction form
    9,230.04/12,738.13 = 5,252.43/x
  3. Step 3: Cross multiply
    9,230.04x = 12,738.13 × 5,252.43
  4. Step 4: Simplify right side
    9,230.04x = 66,906,136.16
  5. Step 5: Solve for x
    x = 66,906,136.16/9,230.04
  6. Step 6: Final answer
    x = 7,248.74

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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.