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Finding the Fourth Proportional to 6,478.89, 9,712.39 and 2,317.92

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Solution

The fourth proportional to 6,478.89, 9,712.39 and 2,317.92 is: 3,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.89 : 9,712.39 = 2,317.92 : x
  2. Step 2: Convert to fraction form
    6,478.89/9,712.39 = 2,317.92/x
  3. Step 3: Cross multiply
    6,478.89x = 9,712.39 × 2,317.92
  4. Step 4: Simplify right side
    6,478.89x = 22,512,543.03
  5. Step 5: Solve for x
    x = 22,512,543.03/6,478.89
  6. Step 6: Final answer
    x = 3,474.75

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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.