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Finding the Fourth Proportional to 6,882.35, 9,496.58 and 3,857.00

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Solution

The fourth proportional to 6,882.35, 9,496.58 and 3,857.00 is: 5,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.35 : 9,496.58 = 3,857.00 : x
  2. Step 2: Convert to fraction form
    6,882.35/9,496.58 = 3,857.00/x
  3. Step 3: Cross multiply
    6,882.35x = 9,496.58 × 3,857.00
  4. Step 4: Simplify right side
    6,882.35x = 36,628,242.29
  5. Step 5: Solve for x
    x = 36,628,242.29/6,882.35
  6. Step 6: Final answer
    x = 5,322.06

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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.