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Finding the Fourth Proportional to 9,959.72, 13,743.86 and 5,482.74

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Solution

The fourth proportional to 9,959.72, 13,743.86 and 5,482.74 is: 7,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.72 : 13,743.86 = 5,482.74 : x
  2. Step 2: Convert to fraction form
    9,959.72/13,743.86 = 5,482.74/x
  3. Step 3: Cross multiply
    9,959.72x = 13,743.86 × 5,482.74
  4. Step 4: Simplify right side
    9,959.72x = 75,353,983.56
  5. Step 5: Solve for x
    x = 75,353,983.56/9,959.72
  6. Step 6: Final answer
    x = 7,565.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.