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Finding the Fourth Proportional to 6,857.36, 9,463.20 and 4,063.04

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Solution

The fourth proportional to 6,857.36, 9,463.20 and 4,063.04 is: 5,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.36 : 9,463.20 = 4,063.04 : x
  2. Step 2: Convert to fraction form
    6,857.36/9,463.20 = 4,063.04/x
  3. Step 3: Cross multiply
    6,857.36x = 9,463.20 × 4,063.04
  4. Step 4: Simplify right side
    6,857.36x = 38,449,360.13
  5. Step 5: Solve for x
    x = 38,449,360.13/6,857.36
  6. Step 6: Final answer
    x = 5,607.02

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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.