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Finding the Fourth Proportional to 9,011.76, 13,517.34 and 4,081.40

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Solution

The fourth proportional to 9,011.76, 13,517.34 and 4,081.40 is: 6,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.76 : 13,517.34 = 4,081.40 : x
  2. Step 2: Convert to fraction form
    9,011.76/13,517.34 = 4,081.40/x
  3. Step 3: Cross multiply
    9,011.76x = 13,517.34 × 4,081.40
  4. Step 4: Simplify right side
    9,011.76x = 55,169,671.48
  5. Step 5: Solve for x
    x = 55,169,671.48/9,011.76
  6. Step 6: Final answer
    x = 6,121.96

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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.