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Finding the Fourth Proportional to 9,517.60, 13,116.48 and 6,860.48

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Solution

The fourth proportional to 9,517.60, 13,116.48 and 6,860.48 is: 9,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.60 : 13,116.48 = 6,860.48 : x
  2. Step 2: Convert to fraction form
    9,517.60/13,116.48 = 6,860.48/x
  3. Step 3: Cross multiply
    9,517.60x = 13,116.48 × 6,860.48
  4. Step 4: Simplify right side
    9,517.60x = 89,985,348.71
  5. Step 5: Solve for x
    x = 89,985,348.71/9,517.60
  6. Step 6: Final answer
    x = 9,454.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.