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Finding the Fourth Proportional to 6,806.57, 9,363.90 and 6,514.97

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Solution

The fourth proportional to 6,806.57, 9,363.90 and 6,514.97 is: 8,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.57 : 9,363.90 = 6,514.97 : x
  2. Step 2: Convert to fraction form
    6,806.57/9,363.90 = 6,514.97/x
  3. Step 3: Cross multiply
    6,806.57x = 9,363.90 × 6,514.97
  4. Step 4: Simplify right side
    6,806.57x = 61,005,448.19
  5. Step 5: Solve for x
    x = 61,005,448.19/6,806.57
  6. Step 6: Final answer
    x = 8,962.74

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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.