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Finding the Fourth Proportional to 10,326.57, 14,267.39 and 7,196.73

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Solution

The fourth proportional to 10,326.57, 14,267.39 and 7,196.73 is: 9,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.57 : 14,267.39 = 7,196.73 : x
  2. Step 2: Convert to fraction form
    10,326.57/14,267.39 = 7,196.73/x
  3. Step 3: Cross multiply
    10,326.57x = 14,267.39 × 7,196.73
  4. Step 4: Simplify right side
    10,326.57x = 102,678,517.65
  5. Step 5: Solve for x
    x = 102,678,517.65/10,326.57
  6. Step 6: Final answer
    x = 9,943.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.