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Finding the Fourth Proportional to 9,254.38, 13,869.49 and 8,081.60

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Solution

The fourth proportional to 9,254.38, 13,869.49 and 8,081.60 is: 12,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.38 : 13,869.49 = 8,081.60 : x
  2. Step 2: Convert to fraction form
    9,254.38/13,869.49 = 8,081.60/x
  3. Step 3: Cross multiply
    9,254.38x = 13,869.49 × 8,081.60
  4. Step 4: Simplify right side
    9,254.38x = 112,087,670.38
  5. Step 5: Solve for x
    x = 112,087,670.38/9,254.38
  6. Step 6: Final answer
    x = 12,111.85

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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.