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Finding the Fourth Proportional to 9,697.16, 13,382.52 and 5,718.44

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Solution

The fourth proportional to 9,697.16, 13,382.52 and 5,718.44 is: 7,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.16 : 13,382.52 = 5,718.44 : x
  2. Step 2: Convert to fraction form
    9,697.16/13,382.52 = 5,718.44/x
  3. Step 3: Cross multiply
    9,697.16x = 13,382.52 × 5,718.44
  4. Step 4: Simplify right side
    9,697.16x = 76,527,137.67
  5. Step 5: Solve for x
    x = 76,527,137.67/9,697.16
  6. Step 6: Final answer
    x = 7,891.71

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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.