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Finding the Fourth Proportional to 6,514.93, 9,766.23 and 5,918.30

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Solution

The fourth proportional to 6,514.93, 9,766.23 and 5,918.30 is: 8,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.93 : 9,766.23 = 5,918.30 : x
  2. Step 2: Convert to fraction form
    6,514.93/9,766.23 = 5,918.30/x
  3. Step 3: Cross multiply
    6,514.93x = 9,766.23 × 5,918.30
  4. Step 4: Simplify right side
    6,514.93x = 57,799,479.01
  5. Step 5: Solve for x
    x = 57,799,479.01/6,514.93
  6. Step 6: Final answer
    x = 8,871.85

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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.