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Finding the Fourth Proportional to 7,081.39, 9,772.50 and 3,937.78

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Solution

The fourth proportional to 7,081.39, 9,772.50 and 3,937.78 is: 5,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.39 : 9,772.50 = 3,937.78 : x
  2. Step 2: Convert to fraction form
    7,081.39/9,772.50 = 3,937.78/x
  3. Step 3: Cross multiply
    7,081.39x = 9,772.50 × 3,937.78
  4. Step 4: Simplify right side
    7,081.39x = 38,481,955.05
  5. Step 5: Solve for x
    x = 38,481,955.05/7,081.39
  6. Step 6: Final answer
    x = 5,434.24

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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.