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Finding the Fourth Proportional to 6,432.16, 8,873.38 and 4,164.23

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Solution

The fourth proportional to 6,432.16, 8,873.38 and 4,164.23 is: 5,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.16 : 8,873.38 = 4,164.23 : x
  2. Step 2: Convert to fraction form
    6,432.16/8,873.38 = 4,164.23/x
  3. Step 3: Cross multiply
    6,432.16x = 8,873.38 × 4,164.23
  4. Step 4: Simplify right side
    6,432.16x = 36,950,795.20
  5. Step 5: Solve for x
    x = 36,950,795.20/6,432.16
  6. Step 6: Final answer
    x = 5,744.69

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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.