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Finding the Fourth Proportional to 6,909.44, 10,310.66 and 6,171.08

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Solution

The fourth proportional to 6,909.44, 10,310.66 and 6,171.08 is: 9,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.44 : 10,310.66 = 6,171.08 : x
  2. Step 2: Convert to fraction form
    6,909.44/10,310.66 = 6,171.08/x
  3. Step 3: Cross multiply
    6,909.44x = 10,310.66 × 6,171.08
  4. Step 4: Simplify right side
    6,909.44x = 63,627,907.71
  5. Step 5: Solve for x
    x = 63,627,907.71/6,909.44
  6. Step 6: Final answer
    x = 9,208.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.