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Finding the Fourth Proportional to 6,902.61, 9,514.85 and 5,781.57

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Solution

The fourth proportional to 6,902.61, 9,514.85 and 5,781.57 is: 7,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.61 : 9,514.85 = 5,781.57 : x
  2. Step 2: Convert to fraction form
    6,902.61/9,514.85 = 5,781.57/x
  3. Step 3: Cross multiply
    6,902.61x = 9,514.85 × 5,781.57
  4. Step 4: Simplify right side
    6,902.61x = 55,010,742.41
  5. Step 5: Solve for x
    x = 55,010,742.41/6,902.61
  6. Step 6: Final answer
    x = 7,969.56

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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.