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Finding the Fourth Proportional to 6,886.08, 10,336.79 and 6,434.37

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Solution

The fourth proportional to 6,886.08, 10,336.79 and 6,434.37 is: 9,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.08 : 10,336.79 = 6,434.37 : x
  2. Step 2: Convert to fraction form
    6,886.08/10,336.79 = 6,434.37/x
  3. Step 3: Cross multiply
    6,886.08x = 10,336.79 × 6,434.37
  4. Step 4: Simplify right side
    6,886.08x = 66,510,747.56
  5. Step 5: Solve for x
    x = 66,510,747.56/6,886.08
  6. Step 6: Final answer
    x = 9,658.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.