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Finding the Fourth Proportional to 6,378.48, 9,565.36 and 2,217.38

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Solution

The fourth proportional to 6,378.48, 9,565.36 and 2,217.38 is: 3,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.48 : 9,565.36 = 2,217.38 : x
  2. Step 2: Convert to fraction form
    6,378.48/9,565.36 = 2,217.38/x
  3. Step 3: Cross multiply
    6,378.48x = 9,565.36 × 2,217.38
  4. Step 4: Simplify right side
    6,378.48x = 21,209,984.59
  5. Step 5: Solve for x
    x = 21,209,984.59/6,378.48
  6. Step 6: Final answer
    x = 3,325.24

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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.