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Finding the Fourth Proportional to 9,102.57, 13,645.71 and 3,554.61

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Solution

The fourth proportional to 9,102.57, 13,645.71 and 3,554.61 is: 5,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.57 : 13,645.71 = 3,554.61 : x
  2. Step 2: Convert to fraction form
    9,102.57/13,645.71 = 3,554.61/x
  3. Step 3: Cross multiply
    9,102.57x = 13,645.71 × 3,554.61
  4. Step 4: Simplify right side
    9,102.57x = 48,505,177.22
  5. Step 5: Solve for x
    x = 48,505,177.22/9,102.57
  6. Step 6: Final answer
    x = 5,328.73

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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.