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Finding the Fourth Proportional to 6,348.75, 9,523.80 and 2,187.60

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Solution

The fourth proportional to 6,348.75, 9,523.80 and 2,187.60 is: 3,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.75 : 9,523.80 = 2,187.60 : x
  2. Step 2: Convert to fraction form
    6,348.75/9,523.80 = 2,187.60/x
  3. Step 3: Cross multiply
    6,348.75x = 9,523.80 × 2,187.60
  4. Step 4: Simplify right side
    6,348.75x = 20,834,264.88
  5. Step 5: Solve for x
    x = 20,834,264.88/6,348.75
  6. Step 6: Final answer
    x = 3,281.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.