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Finding the Fourth Proportional to 9,919.11, 13,690.74 and 6,737.70

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Solution

The fourth proportional to 9,919.11, 13,690.74 and 6,737.70 is: 9,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.11 : 13,690.74 = 6,737.70 : x
  2. Step 2: Convert to fraction form
    9,919.11/13,690.74 = 6,737.70/x
  3. Step 3: Cross multiply
    9,919.11x = 13,690.74 × 6,737.70
  4. Step 4: Simplify right side
    9,919.11x = 92,244,098.90
  5. Step 5: Solve for x
    x = 92,244,098.90/9,919.11
  6. Step 6: Final answer
    x = 9,299.63

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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.