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Finding the Fourth Proportional to 6,118.69, 9,178.71 and 1,957.72

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Solution

The fourth proportional to 6,118.69, 9,178.71 and 1,957.72 is: 2,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.69 : 9,178.71 = 1,957.72 : x
  2. Step 2: Convert to fraction form
    6,118.69/9,178.71 = 1,957.72/x
  3. Step 3: Cross multiply
    6,118.69x = 9,178.71 × 1,957.72
  4. Step 4: Simplify right side
    6,118.69x = 17,969,344.14
  5. Step 5: Solve for x
    x = 17,969,344.14/6,118.69
  6. Step 6: Final answer
    x = 2,936.80

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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.