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Finding the Fourth Proportional to 9,261.54, 13,861.89 and 8,375.40

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Solution

The fourth proportional to 9,261.54, 13,861.89 and 8,375.40 is: 12,535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.54 : 13,861.89 = 8,375.40 : x
  2. Step 2: Convert to fraction form
    9,261.54/13,861.89 = 8,375.40/x
  3. Step 3: Cross multiply
    9,261.54x = 13,861.89 × 8,375.40
  4. Step 4: Simplify right side
    9,261.54x = 116,098,873.51
  5. Step 5: Solve for x
    x = 116,098,873.51/9,261.54
  6. Step 6: Final answer
    x = 12,535.59

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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.