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Finding the Fourth Proportional to 12,632.73, 17,434.14 and 6,967.99

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Solution

The fourth proportional to 12,632.73, 17,434.14 and 6,967.99 is: 9,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.73 : 17,434.14 = 6,967.99 : x
  2. Step 2: Convert to fraction form
    12,632.73/17,434.14 = 6,967.99/x
  3. Step 3: Cross multiply
    12,632.73x = 17,434.14 × 6,967.99
  4. Step 4: Simplify right side
    12,632.73x = 121,480,913.18
  5. Step 5: Solve for x
    x = 121,480,913.18/12,632.73
  6. Step 6: Final answer
    x = 9,616.36

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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.