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Finding the Fourth Proportional to 6,454.32, 8,909.67 and 4,361.28

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Solution

The fourth proportional to 6,454.32, 8,909.67 and 4,361.28 is: 6,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.32 : 8,909.67 = 4,361.28 : x
  2. Step 2: Convert to fraction form
    6,454.32/8,909.67 = 4,361.28/x
  3. Step 3: Cross multiply
    6,454.32x = 8,909.67 × 4,361.28
  4. Step 4: Simplify right side
    6,454.32x = 38,857,565.58
  5. Step 5: Solve for x
    x = 38,857,565.58/6,454.32
  6. Step 6: Final answer
    x = 6,020.40

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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.