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Finding the Fourth Proportional to 9,912.97, 14,867.02 and 3,339.01

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Solution

The fourth proportional to 9,912.97, 14,867.02 and 3,339.01 is: 5,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.97 : 14,867.02 = 3,339.01 : x
  2. Step 2: Convert to fraction form
    9,912.97/14,867.02 = 3,339.01/x
  3. Step 3: Cross multiply
    9,912.97x = 14,867.02 × 3,339.01
  4. Step 4: Simplify right side
    9,912.97x = 49,641,128.45
  5. Step 5: Solve for x
    x = 49,641,128.45/9,912.97
  6. Step 6: Final answer
    x = 5,007.69

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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.