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Finding the Fourth Proportional to 12,572.49, 17,349.20 and 6,906.13

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Solution

The fourth proportional to 12,572.49, 17,349.20 and 6,906.13 is: 9,530.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.49 : 17,349.20 = 6,906.13 : x
  2. Step 2: Convert to fraction form
    12,572.49/17,349.20 = 6,906.13/x
  3. Step 3: Cross multiply
    12,572.49x = 17,349.20 × 6,906.13
  4. Step 4: Simplify right side
    12,572.49x = 119,815,796.07
  5. Step 5: Solve for x
    x = 119,815,796.07/12,572.49
  6. Step 6: Final answer
    x = 9,530.00

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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.