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Finding the Fourth Proportional to 6,254.91, 9,371.95 and 4,402.14

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Solution

The fourth proportional to 6,254.91, 9,371.95 and 4,402.14 is: 6,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.91 : 9,371.95 = 4,402.14 : x
  2. Step 2: Convert to fraction form
    6,254.91/9,371.95 = 4,402.14/x
  3. Step 3: Cross multiply
    6,254.91x = 9,371.95 × 4,402.14
  4. Step 4: Simplify right side
    6,254.91x = 41,256,589.11
  5. Step 5: Solve for x
    x = 41,256,589.11/6,254.91
  6. Step 6: Final answer
    x = 6,595.87

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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.