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Finding the Fourth Proportional to 6,314.40, 9,470.88 and 2,418.48

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Solution

The fourth proportional to 6,314.40, 9,470.88 and 2,418.48 is: 3,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.40 : 9,470.88 = 2,418.48 : x
  2. Step 2: Convert to fraction form
    6,314.40/9,470.88 = 2,418.48/x
  3. Step 3: Cross multiply
    6,314.40x = 9,470.88 × 2,418.48
  4. Step 4: Simplify right side
    6,314.40x = 22,905,133.86
  5. Step 5: Solve for x
    x = 22,905,133.86/6,314.40
  6. Step 6: Final answer
    x = 3,627.44

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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.