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Finding the Fourth Proportional to 6,136.97, 8,462.66 and 4,343.63

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Solution

The fourth proportional to 6,136.97, 8,462.66 and 4,343.63 is: 5,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.97 : 8,462.66 = 4,343.63 : x
  2. Step 2: Convert to fraction form
    6,136.97/8,462.66 = 4,343.63/x
  3. Step 3: Cross multiply
    6,136.97x = 8,462.66 × 4,343.63
  4. Step 4: Simplify right side
    6,136.97x = 36,758,599.82
  5. Step 5: Solve for x
    x = 36,758,599.82/6,136.97
  6. Step 6: Final answer
    x = 5,989.70

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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.