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Finding the Fourth Proportional to 9,126.34, 12,593.92 and 5,348.98

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Solution

The fourth proportional to 9,126.34, 12,593.92 and 5,348.98 is: 7,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.34 : 12,593.92 = 5,348.98 : x
  2. Step 2: Convert to fraction form
    9,126.34/12,593.92 = 5,348.98/x
  3. Step 3: Cross multiply
    9,126.34x = 12,593.92 × 5,348.98
  4. Step 4: Simplify right side
    9,126.34x = 67,364,626.20
  5. Step 5: Solve for x
    x = 67,364,626.20/9,126.34
  6. Step 6: Final answer
    x = 7,381.34

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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.