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Finding the Fourth Proportional to 7,149.24, 9,863.82 and 4,352.76

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Solution

The fourth proportional to 7,149.24, 9,863.82 and 4,352.76 is: 6,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.24 : 9,863.82 = 4,352.76 : x
  2. Step 2: Convert to fraction form
    7,149.24/9,863.82 = 4,352.76/x
  3. Step 3: Cross multiply
    7,149.24x = 9,863.82 × 4,352.76
  4. Step 4: Simplify right side
    7,149.24x = 42,934,841.14
  5. Step 5: Solve for x
    x = 42,934,841.14/7,149.24
  6. Step 6: Final answer
    x = 6,005.51

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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.