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Finding the Fourth Proportional to 6,318.90, 9,480.78 and 2,422.40

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Solution

The fourth proportional to 6,318.90, 9,480.78 and 2,422.40 is: 3,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.90 : 9,480.78 = 2,422.40 : x
  2. Step 2: Convert to fraction form
    6,318.90/9,480.78 = 2,422.40/x
  3. Step 3: Cross multiply
    6,318.90x = 9,480.78 × 2,422.40
  4. Step 4: Simplify right side
    6,318.90x = 22,966,241.47
  5. Step 5: Solve for x
    x = 22,966,241.47/6,318.90
  6. Step 6: Final answer
    x = 3,634.53

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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.