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Finding the Fourth Proportional to 6,456.92, 9,689.63 and 2,296.86

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Solution

The fourth proportional to 6,456.92, 9,689.63 and 2,296.86 is: 3,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.92 : 9,689.63 = 2,296.86 : x
  2. Step 2: Convert to fraction form
    6,456.92/9,689.63 = 2,296.86/x
  3. Step 3: Cross multiply
    6,456.92x = 9,689.63 × 2,296.86
  4. Step 4: Simplify right side
    6,456.92x = 22,255,675.74
  5. Step 5: Solve for x
    x = 22,255,675.74/6,456.92
  6. Step 6: Final answer
    x = 3,446.80

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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.