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Finding the Fourth Proportional to 9,137, 12,609.16 and 4,945.34

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Solution

The fourth proportional to 9,137, 12,609.16 and 4,945.34 is: 6,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137 : 12,609.16 = 4,945.34 : x
  2. Step 2: Convert to fraction form
    9,137/12,609.16 = 4,945.34/x
  3. Step 3: Cross multiply
    9,137x = 12,609.16 × 4,945.34
  4. Step 4: Simplify right side
    9,137x = 62,356,583.31
  5. Step 5: Solve for x
    x = 62,356,583.31/9,137
  6. Step 6: Final answer
    x = 6,824.62

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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.