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Finding the Fourth Proportional to 9,165.60, 13,731.60 and 5,258.40

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Solution

The fourth proportional to 9,165.60, 13,731.60 and 5,258.40 is: 7,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.60 : 13,731.60 = 5,258.40 : x
  2. Step 2: Convert to fraction form
    9,165.60/13,731.60 = 5,258.40/x
  3. Step 3: Cross multiply
    9,165.60x = 13,731.60 × 5,258.40
  4. Step 4: Simplify right side
    9,165.60x = 72,206,245.44
  5. Step 5: Solve for x
    x = 72,206,245.44/9,165.60
  6. Step 6: Final answer
    x = 7,877.96

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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.