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Finding the Fourth Proportional to 6,496.01, 9,747.73 and 6,443.15

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Solution

The fourth proportional to 6,496.01, 9,747.73 and 6,443.15 is: 9,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.01 : 9,747.73 = 6,443.15 : x
  2. Step 2: Convert to fraction form
    6,496.01/9,747.73 = 6,443.15/x
  3. Step 3: Cross multiply
    6,496.01x = 9,747.73 × 6,443.15
  4. Step 4: Simplify right side
    6,496.01x = 62,806,146.23
  5. Step 5: Solve for x
    x = 62,806,146.23/6,496.01
  6. Step 6: Final answer
    x = 9,668.43

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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.