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Finding the Fourth Proportional to 9,161.36, 13,711.95 and 6,957.95

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Solution

The fourth proportional to 9,161.36, 13,711.95 and 6,957.95 is: 10,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.36 : 13,711.95 = 6,957.95 : x
  2. Step 2: Convert to fraction form
    9,161.36/13,711.95 = 6,957.95/x
  3. Step 3: Cross multiply
    9,161.36x = 13,711.95 × 6,957.95
  4. Step 4: Simplify right side
    9,161.36x = 95,406,993.94
  5. Step 5: Solve for x
    x = 95,406,993.94/9,161.36
  6. Step 6: Final answer
    x = 10,414.07

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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.