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Finding the Fourth Proportional to 12,747.16, 17,586.17 and 9,397.94

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Solution

The fourth proportional to 12,747.16, 17,586.17 and 9,397.94 is: 12,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.16 : 17,586.17 = 9,397.94 : x
  2. Step 2: Convert to fraction form
    12,747.16/17,586.17 = 9,397.94/x
  3. Step 3: Cross multiply
    12,747.16x = 17,586.17 × 9,397.94
  4. Step 4: Simplify right side
    12,747.16x = 165,273,670.81
  5. Step 5: Solve for x
    x = 165,273,670.81/12,747.16
  6. Step 6: Final answer
    x = 12,965.53

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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.