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Finding the Fourth Proportional to 6,638.17, 9,156.86 and 4,149.85

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Solution

The fourth proportional to 6,638.17, 9,156.86 and 4,149.85 is: 5,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.17 : 9,156.86 = 4,149.85 : x
  2. Step 2: Convert to fraction form
    6,638.17/9,156.86 = 4,149.85/x
  3. Step 3: Cross multiply
    6,638.17x = 9,156.86 × 4,149.85
  4. Step 4: Simplify right side
    6,638.17x = 37,999,595.47
  5. Step 5: Solve for x
    x = 37,999,595.47/6,638.17
  6. Step 6: Final answer
    x = 5,724.41

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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.