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Finding the Fourth Proportional to 9,233.28, 12,743.04 and 5,254.92

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Solution

The fourth proportional to 9,233.28, 12,743.04 and 5,254.92 is: 7,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.28 : 12,743.04 = 5,254.92 : x
  2. Step 2: Convert to fraction form
    9,233.28/12,743.04 = 5,254.92/x
  3. Step 3: Cross multiply
    9,233.28x = 12,743.04 × 5,254.92
  4. Step 4: Simplify right side
    9,233.28x = 66,963,655.76
  5. Step 5: Solve for x
    x = 66,963,655.76/9,233.28
  6. Step 6: Final answer
    x = 7,252.42

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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.