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Finding the Fourth Proportional to 6,882.48, 9,497.14 and 3,897.72

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Solution

The fourth proportional to 6,882.48, 9,497.14 and 3,897.72 is: 5,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.48 : 9,497.14 = 3,897.72 : x
  2. Step 2: Convert to fraction form
    6,882.48/9,497.14 = 3,897.72/x
  3. Step 3: Cross multiply
    6,882.48x = 9,497.14 × 3,897.72
  4. Step 4: Simplify right side
    6,882.48x = 37,017,182.78
  5. Step 5: Solve for x
    x = 37,017,182.78/6,882.48
  6. Step 6: Final answer
    x = 5,378.47

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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.