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Finding the Fourth Proportional to 9,294.62, 12,829.02 and 5,755.82

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Solution

The fourth proportional to 9,294.62, 12,829.02 and 5,755.82 is: 7,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.62 : 12,829.02 = 5,755.82 : x
  2. Step 2: Convert to fraction form
    9,294.62/12,829.02 = 5,755.82/x
  3. Step 3: Cross multiply
    9,294.62x = 12,829.02 × 5,755.82
  4. Step 4: Simplify right side
    9,294.62x = 73,841,529.90
  5. Step 5: Solve for x
    x = 73,841,529.90/9,294.62
  6. Step 6: Final answer
    x = 7,944.55

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1.5x scale

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.