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Finding the Fourth Proportional to 9,234.71, 12,743.74 and 5,255.74

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Solution

The fourth proportional to 9,234.71, 12,743.74 and 5,255.74 is: 7,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.71 : 12,743.74 = 5,255.74 : x
  2. Step 2: Convert to fraction form
    9,234.71/12,743.74 = 5,255.74/x
  3. Step 3: Cross multiply
    9,234.71x = 12,743.74 × 5,255.74
  4. Step 4: Simplify right side
    9,234.71x = 66,977,784.07
  5. Step 5: Solve for x
    x = 66,977,784.07/9,234.71
  6. Step 6: Final answer
    x = 7,252.83

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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.