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Finding the Fourth Proportional to 9,498.39, 14,247.42 and 2,478.43

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Solution

The fourth proportional to 9,498.39, 14,247.42 and 2,478.43 is: 3,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.39 : 14,247.42 = 2,478.43 : x
  2. Step 2: Convert to fraction form
    9,498.39/14,247.42 = 2,478.43/x
  3. Step 3: Cross multiply
    9,498.39x = 14,247.42 × 2,478.43
  4. Step 4: Simplify right side
    9,498.39x = 35,311,233.15
  5. Step 5: Solve for x
    x = 35,311,233.15/9,498.39
  6. Step 6: Final answer
    x = 3,717.60

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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.