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Finding the Fourth Proportional to 7,126.71, 9,837.60 and 6,379.35

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Solution

The fourth proportional to 7,126.71, 9,837.60 and 6,379.35 is: 8,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.71 : 9,837.60 = 6,379.35 : x
  2. Step 2: Convert to fraction form
    7,126.71/9,837.60 = 6,379.35/x
  3. Step 3: Cross multiply
    7,126.71x = 9,837.60 × 6,379.35
  4. Step 4: Simplify right side
    7,126.71x = 62,757,493.56
  5. Step 5: Solve for x
    x = 62,757,493.56/7,126.71
  6. Step 6: Final answer
    x = 8,805.96

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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.