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Finding the Fourth Proportional to 6,488.26, 9,717.27 and 5,022.70

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Solution

The fourth proportional to 6,488.26, 9,717.27 and 5,022.70 is: 7,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.26 : 9,717.27 = 5,022.70 : x
  2. Step 2: Convert to fraction form
    6,488.26/9,717.27 = 5,022.70/x
  3. Step 3: Cross multiply
    6,488.26x = 9,717.27 × 5,022.70
  4. Step 4: Simplify right side
    6,488.26x = 48,806,932.03
  5. Step 5: Solve for x
    x = 48,806,932.03/6,488.26
  6. Step 6: Final answer
    x = 7,522.35

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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.