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Finding the Fourth Proportional to 9,298.54, 13,951.92 and 3,762.70

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Solution

The fourth proportional to 9,298.54, 13,951.92 and 3,762.70 is: 5,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.54 : 13,951.92 = 3,762.70 : x
  2. Step 2: Convert to fraction form
    9,298.54/13,951.92 = 3,762.70/x
  3. Step 3: Cross multiply
    9,298.54x = 13,951.92 × 3,762.70
  4. Step 4: Simplify right side
    9,298.54x = 52,496,889.38
  5. Step 5: Solve for x
    x = 52,496,889.38/9,298.54
  6. Step 6: Final answer
    x = 5,645.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.