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Finding the Fourth Proportional to 9,974.66, 14,960.16 and 3,734.02

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Solution

The fourth proportional to 9,974.66, 14,960.16 and 3,734.02 is: 5,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.66 : 14,960.16 = 3,734.02 : x
  2. Step 2: Convert to fraction form
    9,974.66/14,960.16 = 3,734.02/x
  3. Step 3: Cross multiply
    9,974.66x = 14,960.16 × 3,734.02
  4. Step 4: Simplify right side
    9,974.66x = 55,861,536.64
  5. Step 5: Solve for x
    x = 55,861,536.64/9,974.66
  6. Step 6: Final answer
    x = 5,600.34

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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.