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Finding the Fourth Proportional to 9,760.40, 14,640.60 and 5,862.80

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Solution

The fourth proportional to 9,760.40, 14,640.60 and 5,862.80 is: 8,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.40 : 14,640.60 = 5,862.80 : x
  2. Step 2: Convert to fraction form
    9,760.40/14,640.60 = 5,862.80/x
  3. Step 3: Cross multiply
    9,760.40x = 14,640.60 × 5,862.80
  4. Step 4: Simplify right side
    9,760.40x = 85,834,909.68
  5. Step 5: Solve for x
    x = 85,834,909.68/9,760.40
  6. Step 6: Final answer
    x = 8,794.20

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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.