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Finding the Fourth Proportional to 6,549.75, 9,034.79 and 3,897

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Solution

The fourth proportional to 6,549.75, 9,034.79 and 3,897 is: 5,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.75 : 9,034.79 = 3,897 : x
  2. Step 2: Convert to fraction form
    6,549.75/9,034.79 = 3,897/x
  3. Step 3: Cross multiply
    6,549.75x = 9,034.79 × 3,897
  4. Step 4: Simplify right side
    6,549.75x = 35,208,557.15
  5. Step 5: Solve for x
    x = 35,208,557.15/6,549.75
  6. Step 6: Final answer
    x = 5,375.56

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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.