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Finding the Fourth Proportional to 6,907.14, 9,531.11 and 3,882.60

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Solution

The fourth proportional to 6,907.14, 9,531.11 and 3,882.60 is: 5,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.14 : 9,531.11 = 3,882.60 : x
  2. Step 2: Convert to fraction form
    6,907.14/9,531.11 = 3,882.60/x
  3. Step 3: Cross multiply
    6,907.14x = 9,531.11 × 3,882.60
  4. Step 4: Simplify right side
    6,907.14x = 37,005,468.27
  5. Step 5: Solve for x
    x = 37,005,468.27/6,907.14
  6. Step 6: Final answer
    x = 5,357.57

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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.