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Finding the Fourth Proportional to 9,471.12, 13,062.96 and 5,694

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Solution

The fourth proportional to 9,471.12, 13,062.96 and 5,694 is: 7,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.12 : 13,062.96 = 5,694 : x
  2. Step 2: Convert to fraction form
    9,471.12/13,062.96 = 5,694/x
  3. Step 3: Cross multiply
    9,471.12x = 13,062.96 × 5,694
  4. Step 4: Simplify right side
    9,471.12x = 74,380,494.24
  5. Step 5: Solve for x
    x = 74,380,494.24/9,471.12
  6. Step 6: Final answer
    x = 7,853.40

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Why These Related Problems?

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