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Finding the Fourth Proportional to 6,531.32, 9,012.78 and 3,735.80

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Solution

The fourth proportional to 6,531.32, 9,012.78 and 3,735.80 is: 5,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.32 : 9,012.78 = 3,735.80 : x
  2. Step 2: Convert to fraction form
    6,531.32/9,012.78 = 3,735.80/x
  3. Step 3: Cross multiply
    6,531.32x = 9,012.78 × 3,735.80
  4. Step 4: Simplify right side
    6,531.32x = 33,669,943.52
  5. Step 5: Solve for x
    x = 33,669,943.52/6,531.32
  6. Step 6: Final answer
    x = 5,155.15

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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.