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Finding the Fourth Proportional to 6,478.87, 9,720.34 and 2,318.78

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Solution

The fourth proportional to 6,478.87, 9,720.34 and 2,318.78 is: 3,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.87 : 9,720.34 = 2,318.78 : x
  2. Step 2: Convert to fraction form
    6,478.87/9,720.34 = 2,318.78/x
  3. Step 3: Cross multiply
    6,478.87x = 9,720.34 × 2,318.78
  4. Step 4: Simplify right side
    6,478.87x = 22,539,318.39
  5. Step 5: Solve for x
    x = 22,539,318.39/6,478.87
  6. Step 6: Final answer
    x = 3,478.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.