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Finding the Fourth Proportional to 9,867.60, 13,540.56 and 8,976.48

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Solution

The fourth proportional to 9,867.60, 13,540.56 and 8,976.48 is: 12,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.60 : 13,540.56 = 8,976.48 : x
  2. Step 2: Convert to fraction form
    9,867.60/13,540.56 = 8,976.48/x
  3. Step 3: Cross multiply
    9,867.60x = 13,540.56 × 8,976.48
  4. Step 4: Simplify right side
    9,867.60x = 121,546,566.03
  5. Step 5: Solve for x
    x = 121,546,566.03/9,867.60
  6. Step 6: Final answer
    x = 12,317.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.