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Finding the Fourth Proportional to 9,039.64, 13,470.74 and 8,742.38

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Solution

The fourth proportional to 9,039.64, 13,470.74 and 8,742.38 is: 13,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.64 : 13,470.74 = 8,742.38 : x
  2. Step 2: Convert to fraction form
    9,039.64/13,470.74 = 8,742.38/x
  3. Step 3: Cross multiply
    9,039.64x = 13,470.74 × 8,742.38
  4. Step 4: Simplify right side
    9,039.64x = 117,766,327.96
  5. Step 5: Solve for x
    x = 117,766,327.96/9,039.64
  6. Step 6: Final answer
    x = 13,027.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.