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Finding the Fourth Proportional to 6,375.84, 9,565.15 and 2,480.28

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Solution

The fourth proportional to 6,375.84, 9,565.15 and 2,480.28 is: 3,720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.84 : 9,565.15 = 2,480.28 : x
  2. Step 2: Convert to fraction form
    6,375.84/9,565.15 = 2,480.28/x
  3. Step 3: Cross multiply
    6,375.84x = 9,565.15 × 2,480.28
  4. Step 4: Simplify right side
    6,375.84x = 23,724,250.24
  5. Step 5: Solve for x
    x = 23,724,250.24/6,375.84
  6. Step 6: Final answer
    x = 3,720.96

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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.