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Finding the Fourth Proportional to 9,620.91, 13,278.20 and 5,844.15

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Solution

The fourth proportional to 9,620.91, 13,278.20 and 5,844.15 is: 8,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.91 : 13,278.20 = 5,844.15 : x
  2. Step 2: Convert to fraction form
    9,620.91/13,278.20 = 5,844.15/x
  3. Step 3: Cross multiply
    9,620.91x = 13,278.20 × 5,844.15
  4. Step 4: Simplify right side
    9,620.91x = 77,599,763.31
  5. Step 5: Solve for x
    x = 77,599,763.31/9,620.91
  6. Step 6: Final answer
    x = 8,065.74

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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.