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Finding the Fourth Proportional to 6,881.70, 9,496.59 and 3,737.82

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Solution

The fourth proportional to 6,881.70, 9,496.59 and 3,737.82 is: 5,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.70 : 9,496.59 = 3,737.82 : x
  2. Step 2: Convert to fraction form
    6,881.70/9,496.59 = 3,737.82/x
  3. Step 3: Cross multiply
    6,881.70x = 9,496.59 × 3,737.82
  4. Step 4: Simplify right side
    6,881.70x = 35,496,544.03
  5. Step 5: Solve for x
    x = 35,496,544.03/6,881.70
  6. Step 6: Final answer
    x = 5,158.11

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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.