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Finding the Fourth Proportional to 7,081.57, 9,772.59 and 3,937.75

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Solution

The fourth proportional to 7,081.57, 9,772.59 and 3,937.75 is: 5,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.57 : 9,772.59 = 3,937.75 : x
  2. Step 2: Convert to fraction form
    7,081.57/9,772.59 = 3,937.75/x
  3. Step 3: Cross multiply
    7,081.57x = 9,772.59 × 3,937.75
  4. Step 4: Simplify right side
    7,081.57x = 38,482,016.27
  5. Step 5: Solve for x
    x = 38,482,016.27/7,081.57
  6. Step 6: Final answer
    x = 5,434.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.