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Finding the Fourth Proportional to 9,974.64, 13,757.40 and 7,624.56

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Solution

The fourth proportional to 9,974.64, 13,757.40 and 7,624.56 is: 10,516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.64 : 13,757.40 = 7,624.56 : x
  2. Step 2: Convert to fraction form
    9,974.64/13,757.40 = 7,624.56/x
  3. Step 3: Cross multiply
    9,974.64x = 13,757.40 × 7,624.56
  4. Step 4: Simplify right side
    9,974.64x = 104,894,121.74
  5. Step 5: Solve for x
    x = 104,894,121.74/9,974.64
  6. Step 6: Final answer
    x = 10,516.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.