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Finding the Fourth Proportional to 6,178.83, 9,264.14 and 3,406.83

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Solution

The fourth proportional to 6,178.83, 9,264.14 and 3,406.83 is: 5,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.83 : 9,264.14 = 3,406.83 : x
  2. Step 2: Convert to fraction form
    6,178.83/9,264.14 = 3,406.83/x
  3. Step 3: Cross multiply
    6,178.83x = 9,264.14 × 3,406.83
  4. Step 4: Simplify right side
    6,178.83x = 31,561,312.27
  5. Step 5: Solve for x
    x = 31,561,312.27/6,178.83
  6. Step 6: Final answer
    x = 5,107.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.