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Finding the Fourth Proportional to 9,939.51, 14,876.82 and 7,306.32

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Solution

The fourth proportional to 9,939.51, 14,876.82 and 7,306.32 is: 10,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.51 : 14,876.82 = 7,306.32 : x
  2. Step 2: Convert to fraction form
    9,939.51/14,876.82 = 7,306.32/x
  3. Step 3: Cross multiply
    9,939.51x = 14,876.82 × 7,306.32
  4. Step 4: Simplify right side
    9,939.51x = 108,694,807.50
  5. Step 5: Solve for x
    x = 108,694,807.50/9,939.51
  6. Step 6: Final answer
    x = 10,935.63

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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.