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Finding the Fourth Proportional to 9,174, 13,758.84 and 2,932.32

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Solution

The fourth proportional to 9,174, 13,758.84 and 2,932.32 is: 4,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174 : 13,758.84 = 2,932.32 : x
  2. Step 2: Convert to fraction form
    9,174/13,758.84 = 2,932.32/x
  3. Step 3: Cross multiply
    9,174x = 13,758.84 × 2,932.32
  4. Step 4: Simplify right side
    9,174x = 40,345,321.71
  5. Step 5: Solve for x
    x = 40,345,321.71/9,174
  6. Step 6: Final answer
    x = 4,397.79

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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.