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Finding the Fourth Proportional to 12,270.54, 16,934.22 and 6,965.71

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Solution

The fourth proportional to 12,270.54, 16,934.22 and 6,965.71 is: 9,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.54 : 16,934.22 = 6,965.71 : x
  2. Step 2: Convert to fraction form
    12,270.54/16,934.22 = 6,965.71/x
  3. Step 3: Cross multiply
    12,270.54x = 16,934.22 × 6,965.71
  4. Step 4: Simplify right side
    12,270.54x = 117,958,823.26
  5. Step 5: Solve for x
    x = 117,958,823.26/12,270.54
  6. Step 6: Final answer
    x = 9,613.17

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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.