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Finding the Fourth Proportional to 9,743.16, 13,449.06 and 5,767.68

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Solution

The fourth proportional to 9,743.16, 13,449.06 and 5,767.68 is: 7,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.16 : 13,449.06 = 5,767.68 : x
  2. Step 2: Convert to fraction form
    9,743.16/13,449.06 = 5,767.68/x
  3. Step 3: Cross multiply
    9,743.16x = 13,449.06 × 5,767.68
  4. Step 4: Simplify right side
    9,743.16x = 77,569,874.38
  5. Step 5: Solve for x
    x = 77,569,874.38/9,743.16
  6. Step 6: Final answer
    x = 7,961.47

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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.