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Finding the Fourth Proportional to 10,175.91, 14,046.66 and 7,196.73

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Solution

The fourth proportional to 10,175.91, 14,046.66 and 7,196.73 is: 9,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.91 : 14,046.66 = 7,196.73 : x
  2. Step 2: Convert to fraction form
    10,175.91/14,046.66 = 7,196.73/x
  3. Step 3: Cross multiply
    10,175.91x = 14,046.66 × 7,196.73
  4. Step 4: Simplify right side
    10,175.91x = 101,090,019.42
  5. Step 5: Solve for x
    x = 101,090,019.42/10,175.91
  6. Step 6: Final answer
    x = 9,934.25

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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.