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Finding the Fourth Proportional to 6,354.72, 8,766.56 and 4,117.34

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Solution

The fourth proportional to 6,354.72, 8,766.56 and 4,117.34 is: 5,680.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.72 : 8,766.56 = 4,117.34 : x
  2. Step 2: Convert to fraction form
    6,354.72/8,766.56 = 4,117.34/x
  3. Step 3: Cross multiply
    6,354.72x = 8,766.56 × 4,117.34
  4. Step 4: Simplify right side
    6,354.72x = 36,094,908.15
  5. Step 5: Solve for x
    x = 36,094,908.15/6,354.72
  6. Step 6: Final answer
    x = 5,680.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.