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Finding the Fourth Proportional to 7,126.33, 9,837.08 and 6,378.97

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Solution

The fourth proportional to 7,126.33, 9,837.08 and 6,378.97 is: 8,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.33 : 9,837.08 = 6,378.97 : x
  2. Step 2: Convert to fraction form
    7,126.33/9,837.08 = 6,378.97/x
  3. Step 3: Cross multiply
    7,126.33x = 9,837.08 × 6,378.97
  4. Step 4: Simplify right side
    7,126.33x = 62,750,438.21
  5. Step 5: Solve for x
    x = 62,750,438.21/7,126.33
  6. Step 6: Final answer
    x = 8,805.44

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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.