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Finding the Fourth Proportional to 6,027.47, 9,041.05 and 1,867.31

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Solution

The fourth proportional to 6,027.47, 9,041.05 and 1,867.31 is: 2,800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.47 : 9,041.05 = 1,867.31 : x
  2. Step 2: Convert to fraction form
    6,027.47/9,041.05 = 1,867.31/x
  3. Step 3: Cross multiply
    6,027.47x = 9,041.05 × 1,867.31
  4. Step 4: Simplify right side
    6,027.47x = 16,882,443.08
  5. Step 5: Solve for x
    x = 16,882,443.08/6,027.47
  6. Step 6: Final answer
    x = 2,800.92

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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.