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Finding the Fourth Proportional to 6,531.16, 9,013.02 and 3,878.68

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Solution

The fourth proportional to 6,531.16, 9,013.02 and 3,878.68 is: 5,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.16 : 9,013.02 = 3,878.68 : x
  2. Step 2: Convert to fraction form
    6,531.16/9,013.02 = 3,878.68/x
  3. Step 3: Cross multiply
    6,531.16x = 9,013.02 × 3,878.68
  4. Step 4: Simplify right side
    6,531.16x = 34,958,620.41
  5. Step 5: Solve for x
    x = 34,958,620.41/6,531.16
  6. Step 6: Final answer
    x = 5,352.59

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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.