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Finding the Fourth Proportional to 7,138.99, 9,854.90 and 5,371.03

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Solution

The fourth proportional to 7,138.99, 9,854.90 and 5,371.03 is: 7,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.99 : 9,854.90 = 5,371.03 : x
  2. Step 2: Convert to fraction form
    7,138.99/9,854.90 = 5,371.03/x
  3. Step 3: Cross multiply
    7,138.99x = 9,854.90 × 5,371.03
  4. Step 4: Simplify right side
    7,138.99x = 52,930,963.55
  5. Step 5: Solve for x
    x = 52,930,963.55/7,138.99
  6. Step 6: Final answer
    x = 7,414.35

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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.