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Finding the Fourth Proportional to 9,959.34, 13,743.09 and 5,767.86

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Solution

The fourth proportional to 9,959.34, 13,743.09 and 5,767.86 is: 7,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.34 : 13,743.09 = 5,767.86 : x
  2. Step 2: Convert to fraction form
    9,959.34/13,743.09 = 5,767.86/x
  3. Step 3: Cross multiply
    9,959.34x = 13,743.09 × 5,767.86
  4. Step 4: Simplify right side
    9,959.34x = 79,268,219.09
  5. Step 5: Solve for x
    x = 79,268,219.09/9,959.34
  6. Step 6: Final answer
    x = 7,959.18

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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.