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Finding the Fourth Proportional to 6,143.90, 9,215.85 and 5,123.30

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Solution

The fourth proportional to 6,143.90, 9,215.85 and 5,123.30 is: 7,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.90 : 9,215.85 = 5,123.30 : x
  2. Step 2: Convert to fraction form
    6,143.90/9,215.85 = 5,123.30/x
  3. Step 3: Cross multiply
    6,143.90x = 9,215.85 × 5,123.30
  4. Step 4: Simplify right side
    6,143.90x = 47,215,564.31
  5. Step 5: Solve for x
    x = 47,215,564.31/6,143.90
  6. Step 6: Final answer
    x = 7,684.95

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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.