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Finding the Fourth Proportional to 6,402.88, 9,605.70 and 2,454.14

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Solution

The fourth proportional to 6,402.88, 9,605.70 and 2,454.14 is: 3,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.88 : 9,605.70 = 2,454.14 : x
  2. Step 2: Convert to fraction form
    6,402.88/9,605.70 = 2,454.14/x
  3. Step 3: Cross multiply
    6,402.88x = 9,605.70 × 2,454.14
  4. Step 4: Simplify right side
    6,402.88x = 23,573,720.33
  5. Step 5: Solve for x
    x = 23,573,720.33/6,402.88
  6. Step 6: Final answer
    x = 3,681.74

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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.