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Finding the Fourth Proportional to 9,165.60, 13,748.40 and 8,258.40

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Solution

The fourth proportional to 9,165.60, 13,748.40 and 8,258.40 is: 12,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.60 : 13,748.40 = 8,258.40 : x
  2. Step 2: Convert to fraction form
    9,165.60/13,748.40 = 8,258.40/x
  3. Step 3: Cross multiply
    9,165.60x = 13,748.40 × 8,258.40
  4. Step 4: Simplify right side
    9,165.60x = 113,539,786.56
  5. Step 5: Solve for x
    x = 113,539,786.56/9,165.60
  6. Step 6: Final answer
    x = 12,387.60

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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.