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Finding the Fourth Proportional to 6,418.40, 9,627.60 and 5,122.40

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Solution

The fourth proportional to 6,418.40, 9,627.60 and 5,122.40 is: 7,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.40 : 9,627.60 = 5,122.40 : x
  2. Step 2: Convert to fraction form
    6,418.40/9,627.60 = 5,122.40/x
  3. Step 3: Cross multiply
    6,418.40x = 9,627.60 × 5,122.40
  4. Step 4: Simplify right side
    6,418.40x = 49,316,418.24
  5. Step 5: Solve for x
    x = 49,316,418.24/6,418.40
  6. Step 6: Final answer
    x = 7,683.60

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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.