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Finding the Fourth Proportional to 6,454.60, 9,681.90 and 3,992.20

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Solution

The fourth proportional to 6,454.60, 9,681.90 and 3,992.20 is: 5,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.60 : 9,681.90 = 3,992.20 : x
  2. Step 2: Convert to fraction form
    6,454.60/9,681.90 = 3,992.20/x
  3. Step 3: Cross multiply
    6,454.60x = 9,681.90 × 3,992.20
  4. Step 4: Simplify right side
    6,454.60x = 38,652,081.18
  5. Step 5: Solve for x
    x = 38,652,081.18/6,454.60
  6. Step 6: Final answer
    x = 5,988.30

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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.