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Finding the Fourth Proportional to 6,118.83, 9,178.85 and 1,957.79

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Solution

The fourth proportional to 6,118.83, 9,178.85 and 1,957.79 is: 2,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.83 : 9,178.85 = 1,957.79 : x
  2. Step 2: Convert to fraction form
    6,118.83/9,178.85 = 1,957.79/x
  3. Step 3: Cross multiply
    6,118.83x = 9,178.85 × 1,957.79
  4. Step 4: Simplify right side
    6,118.83x = 17,970,260.74
  5. Step 5: Solve for x
    x = 17,970,260.74/6,118.83
  6. Step 6: Final answer
    x = 2,936.88

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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.