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Finding the Fourth Proportional to 6,881.42, 9,496.32 and 3,737.54

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Solution

The fourth proportional to 6,881.42, 9,496.32 and 3,737.54 is: 5,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.42 : 9,496.32 = 3,737.54 : x
  2. Step 2: Convert to fraction form
    6,881.42/9,496.32 = 3,737.54/x
  3. Step 3: Cross multiply
    6,881.42x = 9,496.32 × 3,737.54
  4. Step 4: Simplify right side
    6,881.42x = 35,492,875.85
  5. Step 5: Solve for x
    x = 35,492,875.85/6,881.42
  6. Step 6: Final answer
    x = 5,157.78

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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.