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Finding the Fourth Proportional to 6,174.90, 9,264.72 and 3,711.48

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Solution

The fourth proportional to 6,174.90, 9,264.72 and 3,711.48 is: 5,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.90 : 9,264.72 = 3,711.48 : x
  2. Step 2: Convert to fraction form
    6,174.90/9,264.72 = 3,711.48/x
  3. Step 3: Cross multiply
    6,174.90x = 9,264.72 × 3,711.48
  4. Step 4: Simplify right side
    6,174.90x = 34,385,822.99
  5. Step 5: Solve for x
    x = 34,385,822.99/6,174.90
  6. Step 6: Final answer
    x = 5,568.65

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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.