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Finding the Fourth Proportional to 6,456.20, 9,685.20 and 2,758.40

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Solution

The fourth proportional to 6,456.20, 9,685.20 and 2,758.40 is: 4,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.20 : 9,685.20 = 2,758.40 : x
  2. Step 2: Convert to fraction form
    6,456.20/9,685.20 = 2,758.40/x
  3. Step 3: Cross multiply
    6,456.20x = 9,685.20 × 2,758.40
  4. Step 4: Simplify right side
    6,456.20x = 26,715,655.68
  5. Step 5: Solve for x
    x = 26,715,655.68/6,456.20
  6. Step 6: Final answer
    x = 4,137.98

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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.