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Finding the Fourth Proportional to 11,278.96, 15,537.14 and 9,594.97

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Solution

The fourth proportional to 11,278.96, 15,537.14 and 9,594.97 is: 13,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278.96 : 15,537.14 = 9,594.97 : x
  2. Step 2: Convert to fraction form
    11,278.96/15,537.14 = 9,594.97/x
  3. Step 3: Cross multiply
    11,278.96x = 15,537.14 × 9,594.97
  4. Step 4: Simplify right side
    11,278.96x = 149,078,392.19
  5. Step 5: Solve for x
    x = 149,078,392.19/11,278.96
  6. Step 6: Final answer
    x = 13,217.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.