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Finding the Fourth Proportional to 6,566.72, 9,042.72 and 5,867.84

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Solution

The fourth proportional to 6,566.72, 9,042.72 and 5,867.84 is: 8,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.72 : 9,042.72 = 5,867.84 : x
  2. Step 2: Convert to fraction form
    6,566.72/9,042.72 = 5,867.84/x
  3. Step 3: Cross multiply
    6,566.72x = 9,042.72 × 5,867.84
  4. Step 4: Simplify right side
    6,566.72x = 53,061,234.12
  5. Step 5: Solve for x
    x = 53,061,234.12/6,566.72
  6. Step 6: Final answer
    x = 8,080.33

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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.