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Finding the Fourth Proportional to 9,912.07, 14,868.17 and 2,516.51

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Solution

The fourth proportional to 9,912.07, 14,868.17 and 2,516.51 is: 3,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.07 : 14,868.17 = 2,516.51 : x
  2. Step 2: Convert to fraction form
    9,912.07/14,868.17 = 2,516.51/x
  3. Step 3: Cross multiply
    9,912.07x = 14,868.17 × 2,516.51
  4. Step 4: Simplify right side
    9,912.07x = 37,415,898.49
  5. Step 5: Solve for x
    x = 37,415,898.49/9,912.07
  6. Step 6: Final answer
    x = 3,774.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.