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Finding the Fourth Proportional to 6,412.40, 8,847.72 and 4,174.04

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Solution

The fourth proportional to 6,412.40, 8,847.72 and 4,174.04 is: 5,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.40 : 8,847.72 = 4,174.04 : x
  2. Step 2: Convert to fraction form
    6,412.40/8,847.72 = 4,174.04/x
  3. Step 3: Cross multiply
    6,412.40x = 8,847.72 × 4,174.04
  4. Step 4: Simplify right side
    6,412.40x = 36,930,737.19
  5. Step 5: Solve for x
    x = 36,930,737.19/6,412.40
  6. Step 6: Final answer
    x = 5,759.27

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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.