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Finding the Fourth Proportional to 6,347, 8,758.86 and 3,863

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Solution

The fourth proportional to 6,347, 8,758.86 and 3,863 is: 5,330.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347 : 8,758.86 = 3,863 : x
  2. Step 2: Convert to fraction form
    6,347/8,758.86 = 3,863/x
  3. Step 3: Cross multiply
    6,347x = 8,758.86 × 3,863
  4. Step 4: Simplify right side
    6,347x = 33,835,476.18
  5. Step 5: Solve for x
    x = 33,835,476.18/6,347
  6. Step 6: Final answer
    x = 5,330.94

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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.