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Finding the Fourth Proportional to 6,880.35, 9,495.36 and 5,198.79

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Solution

The fourth proportional to 6,880.35, 9,495.36 and 5,198.79 is: 7,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.35 : 9,495.36 = 5,198.79 : x
  2. Step 2: Convert to fraction form
    6,880.35/9,495.36 = 5,198.79/x
  3. Step 3: Cross multiply
    6,880.35x = 9,495.36 × 5,198.79
  4. Step 4: Simplify right side
    6,880.35x = 49,364,382.61
  5. Step 5: Solve for x
    x = 49,364,382.61/6,880.35
  6. Step 6: Final answer
    x = 7,174.69

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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.