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Finding the Fourth Proportional to 6,382.06, 9,592.61 and 5,293.42

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Solution

The fourth proportional to 6,382.06, 9,592.61 and 5,293.42 is: 7,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.06 : 9,592.61 = 5,293.42 : x
  2. Step 2: Convert to fraction form
    6,382.06/9,592.61 = 5,293.42/x
  3. Step 3: Cross multiply
    6,382.06x = 9,592.61 × 5,293.42
  4. Step 4: Simplify right side
    6,382.06x = 50,777,713.63
  5. Step 5: Solve for x
    x = 50,777,713.63/6,382.06
  6. Step 6: Final answer
    x = 7,956.32

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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.