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Finding the Fourth Proportional to 9,478.24, 13,072.92 and 6,959.56

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Solution

The fourth proportional to 9,478.24, 13,072.92 and 6,959.56 is: 9,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.24 : 13,072.92 = 6,959.56 : x
  2. Step 2: Convert to fraction form
    9,478.24/13,072.92 = 6,959.56/x
  3. Step 3: Cross multiply
    9,478.24x = 13,072.92 × 6,959.56
  4. Step 4: Simplify right side
    9,478.24x = 90,981,771.12
  5. Step 5: Solve for x
    x = 90,981,771.12/9,478.24
  6. Step 6: Final answer
    x = 9,599.02

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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.