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Finding the Fourth Proportional to 6,416, 8,854.64 and 3,621.76

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Solution

The fourth proportional to 6,416, 8,854.64 and 3,621.76 is: 4,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416 : 8,854.64 = 3,621.76 : x
  2. Step 2: Convert to fraction form
    6,416/8,854.64 = 3,621.76/x
  3. Step 3: Cross multiply
    6,416x = 8,854.64 × 3,621.76
  4. Step 4: Simplify right side
    6,416x = 32,069,380.97
  5. Step 5: Solve for x
    x = 32,069,380.97/6,416
  6. Step 6: Final answer
    x = 4,998.34

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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.