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Finding the Fourth Proportional to 6,534.77, 9,018.75 and 3,882.20

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Solution

The fourth proportional to 6,534.77, 9,018.75 and 3,882.20 is: 5,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.77 : 9,018.75 = 3,882.20 : x
  2. Step 2: Convert to fraction form
    6,534.77/9,018.75 = 3,882.20/x
  3. Step 3: Cross multiply
    6,534.77x = 9,018.75 × 3,882.20
  4. Step 4: Simplify right side
    6,534.77x = 35,012,546.16
  5. Step 5: Solve for x
    x = 35,012,546.16/6,534.77
  6. Step 6: Final answer
    x = 5,357.89

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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.