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Finding the Fourth Proportional to 9,027.92, 12,454.92 and 5,714

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Solution

The fourth proportional to 9,027.92, 12,454.92 and 5,714 is: 7,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.92 : 12,454.92 = 5,714 : x
  2. Step 2: Convert to fraction form
    9,027.92/12,454.92 = 5,714/x
  3. Step 3: Cross multiply
    9,027.92x = 12,454.92 × 5,714
  4. Step 4: Simplify right side
    9,027.92x = 71,167,412.88
  5. Step 5: Solve for x
    x = 71,167,412.88/9,027.92
  6. Step 6: Final answer
    x = 7,883.04

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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.