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Finding the Fourth Proportional to 6,909.73, 10,364.50 and 4,137.17

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Solution

The fourth proportional to 6,909.73, 10,364.50 and 4,137.17 is: 6,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.73 : 10,364.50 = 4,137.17 : x
  2. Step 2: Convert to fraction form
    6,909.73/10,364.50 = 4,137.17/x
  3. Step 3: Cross multiply
    6,909.73x = 10,364.50 × 4,137.17
  4. Step 4: Simplify right side
    6,909.73x = 42,879,690.68
  5. Step 5: Solve for x
    x = 42,879,690.68/6,909.73
  6. Step 6: Final answer
    x = 6,205.70

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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.