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Finding the Fourth Proportional to 6,416.14, 8,854.32 and 3,763.60

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Solution

The fourth proportional to 6,416.14, 8,854.32 and 3,763.60 is: 5,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.14 : 8,854.32 = 3,763.60 : x
  2. Step 2: Convert to fraction form
    6,416.14/8,854.32 = 3,763.60/x
  3. Step 3: Cross multiply
    6,416.14x = 8,854.32 × 3,763.60
  4. Step 4: Simplify right side
    6,416.14x = 33,324,118.75
  5. Step 5: Solve for x
    x = 33,324,118.75/6,416.14
  6. Step 6: Final answer
    x = 5,193.80

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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.