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Finding the Fourth Proportional to 6,527.82, 9,009.78 and 4,169.55

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Solution

The fourth proportional to 6,527.82, 9,009.78 and 4,169.55 is: 5,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.82 : 9,009.78 = 4,169.55 : x
  2. Step 2: Convert to fraction form
    6,527.82/9,009.78 = 4,169.55/x
  3. Step 3: Cross multiply
    6,527.82x = 9,009.78 × 4,169.55
  4. Step 4: Simplify right side
    6,527.82x = 37,566,728.20
  5. Step 5: Solve for x
    x = 37,566,728.20/6,527.82
  6. Step 6: Final answer
    x = 5,754.87

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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.