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Finding the Fourth Proportional to 9,402.36, 14,104.70 and 3,478.25

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Solution

The fourth proportional to 9,402.36, 14,104.70 and 3,478.25 is: 5,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.36 : 14,104.70 = 3,478.25 : x
  2. Step 2: Convert to fraction form
    9,402.36/14,104.70 = 3,478.25/x
  3. Step 3: Cross multiply
    9,402.36x = 14,104.70 × 3,478.25
  4. Step 4: Simplify right side
    9,402.36x = 49,059,584.86
  5. Step 5: Solve for x
    x = 49,059,584.86/9,402.36
  6. Step 6: Final answer
    x = 5,217.79

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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.