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Finding the Fourth Proportional to 6,416.88, 8,854.75 and 3,727.55

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Solution

The fourth proportional to 6,416.88, 8,854.75 and 3,727.55 is: 5,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.88 : 8,854.75 = 3,727.55 : x
  2. Step 2: Convert to fraction form
    6,416.88/8,854.75 = 3,727.55/x
  3. Step 3: Cross multiply
    6,416.88x = 8,854.75 × 3,727.55
  4. Step 4: Simplify right side
    6,416.88x = 33,006,523.36
  5. Step 5: Solve for x
    x = 33,006,523.36/6,416.88
  6. Step 6: Final answer
    x = 5,143.70

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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.