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Finding the Fourth Proportional to 6,334.64, 8,743.01 and 4,177.40

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Solution

The fourth proportional to 6,334.64, 8,743.01 and 4,177.40 is: 5,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.64 : 8,743.01 = 4,177.40 : x
  2. Step 2: Convert to fraction form
    6,334.64/8,743.01 = 4,177.40/x
  3. Step 3: Cross multiply
    6,334.64x = 8,743.01 × 4,177.40
  4. Step 4: Simplify right side
    6,334.64x = 36,523,016.70
  5. Step 5: Solve for x
    x = 36,523,016.70/6,334.64
  6. Step 6: Final answer
    x = 5,765.60

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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.