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Finding the Fourth Proportional to 6,532.70, 9,017.18 and 4,174.85

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Solution

The fourth proportional to 6,532.70, 9,017.18 and 4,174.85 is: 5,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.70 : 9,017.18 = 4,174.85 : x
  2. Step 2: Convert to fraction form
    6,532.70/9,017.18 = 4,174.85/x
  3. Step 3: Cross multiply
    6,532.70x = 9,017.18 × 4,174.85
  4. Step 4: Simplify right side
    6,532.70x = 37,645,373.92
  5. Step 5: Solve for x
    x = 37,645,373.92/6,532.70
  6. Step 6: Final answer
    x = 5,762.61

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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.