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Finding the Fourth Proportional to 8,734.38, 13,100.49 and 3,538.62

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Solution

The fourth proportional to 8,734.38, 13,100.49 and 3,538.62 is: 5,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.38 : 13,100.49 = 3,538.62 : x
  2. Step 2: Convert to fraction form
    8,734.38/13,100.49 = 3,538.62/x
  3. Step 3: Cross multiply
    8,734.38x = 13,100.49 × 3,538.62
  4. Step 4: Simplify right side
    8,734.38x = 46,357,655.92
  5. Step 5: Solve for x
    x = 46,357,655.92/8,734.38
  6. Step 6: Final answer
    x = 5,307.49

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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.