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Finding the Fourth Proportional to 6,416.60, 8,847.90 and 4,174.31

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Solution

The fourth proportional to 6,416.60, 8,847.90 and 4,174.31 is: 5,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.60 : 8,847.90 = 4,174.31 : x
  2. Step 2: Convert to fraction form
    6,416.60/8,847.90 = 4,174.31/x
  3. Step 3: Cross multiply
    6,416.60x = 8,847.90 × 4,174.31
  4. Step 4: Simplify right side
    6,416.60x = 36,933,899.57
  5. Step 5: Solve for x
    x = 36,933,899.57/6,416.60
  6. Step 6: Final answer
    x = 5,756.00

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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.