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Finding the Fourth Proportional to 9,291.52, 13,939.41 and 4,027.41

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Solution

The fourth proportional to 9,291.52, 13,939.41 and 4,027.41 is: 6,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.52 : 13,939.41 = 4,027.41 : x
  2. Step 2: Convert to fraction form
    9,291.52/13,939.41 = 4,027.41/x
  3. Step 3: Cross multiply
    9,291.52x = 13,939.41 × 4,027.41
  4. Step 4: Simplify right side
    9,291.52x = 56,139,719.23
  5. Step 5: Solve for x
    x = 56,139,719.23/9,291.52
  6. Step 6: Final answer
    x = 6,042.04

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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.