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Finding the Fourth Proportional to 9,756.14, 13,464.67 and 5,979.85

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Solution

The fourth proportional to 9,756.14, 13,464.67 and 5,979.85 is: 8,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.14 : 13,464.67 = 5,979.85 : x
  2. Step 2: Convert to fraction form
    9,756.14/13,464.67 = 5,979.85/x
  3. Step 3: Cross multiply
    9,756.14x = 13,464.67 × 5,979.85
  4. Step 4: Simplify right side
    9,756.14x = 80,516,706.90
  5. Step 5: Solve for x
    x = 80,516,706.90/9,756.14
  6. Step 6: Final answer
    x = 8,252.93

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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.