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Finding the Fourth Proportional to 6,536, 9,017.76 and 3,882.08

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Solution

The fourth proportional to 6,536, 9,017.76 and 3,882.08 is: 5,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536 : 9,017.76 = 3,882.08 : x
  2. Step 2: Convert to fraction form
    6,536/9,017.76 = 3,882.08/x
  3. Step 3: Cross multiply
    6,536x = 9,017.76 × 3,882.08
  4. Step 4: Simplify right side
    6,536x = 35,007,665.74
  5. Step 5: Solve for x
    x = 35,007,665.74/6,536
  6. Step 6: Final answer
    x = 5,356.13

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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.