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Finding the Fourth Proportional to 12,542.92, 17,309.43 and 6,878.19

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Solution

The fourth proportional to 12,542.92, 17,309.43 and 6,878.19 is: 9,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.92 : 17,309.43 = 6,878.19 : x
  2. Step 2: Convert to fraction form
    12,542.92/17,309.43 = 6,878.19/x
  3. Step 3: Cross multiply
    12,542.92x = 17,309.43 × 6,878.19
  4. Step 4: Simplify right side
    12,542.92x = 119,057,496.46
  5. Step 5: Solve for x
    x = 119,057,496.46/12,542.92
  6. Step 6: Final answer
    x = 9,492.01

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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.