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Finding the Fourth Proportional to 12,746.49, 17,585.24 and 9,397.27

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Solution

The fourth proportional to 12,746.49, 17,585.24 and 9,397.27 is: 12,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.49 : 17,585.24 = 9,397.27 : x
  2. Step 2: Convert to fraction form
    12,746.49/17,585.24 = 9,397.27/x
  3. Step 3: Cross multiply
    12,746.49x = 17,585.24 × 9,397.27
  4. Step 4: Simplify right side
    12,746.49x = 165,253,160.37
  5. Step 5: Solve for x
    x = 165,253,160.37/12,746.49
  6. Step 6: Final answer
    x = 12,964.60

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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.