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Finding the Fourth Proportional to 6,881.53, 9,496.53 and 3,737.74

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Solution

The fourth proportional to 6,881.53, 9,496.53 and 3,737.74 is: 5,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.53 : 9,496.53 = 3,737.74 : x
  2. Step 2: Convert to fraction form
    6,881.53/9,496.53 = 3,737.74/x
  3. Step 3: Cross multiply
    6,881.53x = 9,496.53 × 3,737.74
  4. Step 4: Simplify right side
    6,881.53x = 35,495,560.04
  5. Step 5: Solve for x
    x = 35,495,560.04/6,881.53
  6. Step 6: Final answer
    x = 5,158.09

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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.