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Finding the Fourth Proportional to 9,304.97, 13,958.31 and 3,062.43

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Solution

The fourth proportional to 9,304.97, 13,958.31 and 3,062.43 is: 4,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.97 : 13,958.31 = 3,062.43 : x
  2. Step 2: Convert to fraction form
    9,304.97/13,958.31 = 3,062.43/x
  3. Step 3: Cross multiply
    9,304.97x = 13,958.31 × 3,062.43
  4. Step 4: Simplify right side
    9,304.97x = 42,746,347.29
  5. Step 5: Solve for x
    x = 42,746,347.29/9,304.97
  6. Step 6: Final answer
    x = 4,593.93

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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.