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Finding the Fourth Proportional to 6,178.88, 9,271.49 and 3,407.73

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Solution

The fourth proportional to 6,178.88, 9,271.49 and 3,407.73 is: 5,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.88 : 9,271.49 = 3,407.73 : x
  2. Step 2: Convert to fraction form
    6,178.88/9,271.49 = 3,407.73/x
  3. Step 3: Cross multiply
    6,178.88x = 9,271.49 × 3,407.73
  4. Step 4: Simplify right side
    6,178.88x = 31,594,717.58
  5. Step 5: Solve for x
    x = 31,594,717.58/6,178.88
  6. Step 6: Final answer
    x = 5,113.34

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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.