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Finding the Fourth Proportional to 6,947.47, 9,590.61 and 4,432.90

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Solution

The fourth proportional to 6,947.47, 9,590.61 and 4,432.90 is: 6,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.47 : 9,590.61 = 4,432.90 : x
  2. Step 2: Convert to fraction form
    6,947.47/9,590.61 = 4,432.90/x
  3. Step 3: Cross multiply
    6,947.47x = 9,590.61 × 4,432.90
  4. Step 4: Simplify right side
    6,947.47x = 42,514,215.07
  5. Step 5: Solve for x
    x = 42,514,215.07/6,947.47
  6. Step 6: Final answer
    x = 6,119.38

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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.