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Finding the Fourth Proportional to 9,332.46, 13,999.50 and 3,410.97

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Solution

The fourth proportional to 9,332.46, 13,999.50 and 3,410.97 is: 5,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.46 : 13,999.50 = 3,410.97 : x
  2. Step 2: Convert to fraction form
    9,332.46/13,999.50 = 3,410.97/x
  3. Step 3: Cross multiply
    9,332.46x = 13,999.50 × 3,410.97
  4. Step 4: Simplify right side
    9,332.46x = 47,751,874.52
  5. Step 5: Solve for x
    x = 47,751,874.52/9,332.46
  6. Step 6: Final answer
    x = 5,116.75

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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.