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Finding the Fourth Proportional to 6,509.38, 8,987.26 and 4,029.70

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Solution

The fourth proportional to 6,509.38, 8,987.26 and 4,029.70 is: 5,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.38 : 8,987.26 = 4,029.70 : x
  2. Step 2: Convert to fraction form
    6,509.38/8,987.26 = 4,029.70/x
  3. Step 3: Cross multiply
    6,509.38x = 8,987.26 × 4,029.70
  4. Step 4: Simplify right side
    6,509.38x = 36,215,906.61
  5. Step 5: Solve for x
    x = 36,215,906.61/6,509.38
  6. Step 6: Final answer
    x = 5,563.65

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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.