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Finding the Fourth Proportional to 9,233.71, 12,742.36 and 5,254.74

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Solution

The fourth proportional to 9,233.71, 12,742.36 and 5,254.74 is: 7,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.71 : 12,742.36 = 5,254.74 : x
  2. Step 2: Convert to fraction form
    9,233.71/12,742.36 = 5,254.74/x
  3. Step 3: Cross multiply
    9,233.71x = 12,742.36 × 5,254.74
  4. Step 4: Simplify right side
    9,233.71x = 66,957,788.79
  5. Step 5: Solve for x
    x = 66,957,788.79/9,233.71
  6. Step 6: Final answer
    x = 7,251.45

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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.