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Finding the Fourth Proportional to 6,566.32, 9,849.42 and 4,634.44

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Solution

The fourth proportional to 6,566.32, 9,849.42 and 4,634.44 is: 6,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.32 : 9,849.42 = 4,634.44 : x
  2. Step 2: Convert to fraction form
    6,566.32/9,849.42 = 4,634.44/x
  3. Step 3: Cross multiply
    6,566.32x = 9,849.42 × 4,634.44
  4. Step 4: Simplify right side
    6,566.32x = 45,646,546.02
  5. Step 5: Solve for x
    x = 45,646,546.02/6,566.32
  6. Step 6: Final answer
    x = 6,951.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.