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Finding the Fourth Proportional to 12,747.25, 17,586.29 and 9,398.01

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Solution

The fourth proportional to 12,747.25, 17,586.29 and 9,398.01 is: 12,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.25 : 17,586.29 = 9,398.01 : x
  2. Step 2: Convert to fraction form
    12,747.25/17,586.29 = 9,398.01/x
  3. Step 3: Cross multiply
    12,747.25x = 17,586.29 × 9,398.01
  4. Step 4: Simplify right side
    12,747.25x = 165,276,082.29
  5. Step 5: Solve for x
    x = 165,276,082.29/12,747.25
  6. Step 6: Final answer
    x = 12,965.63

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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.