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Finding the Fourth Proportional to 6,136.74, 9,203.79 and 1,753.02

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Solution

The fourth proportional to 6,136.74, 9,203.79 and 1,753.02 is: 2,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.74 : 9,203.79 = 1,753.02 : x
  2. Step 2: Convert to fraction form
    6,136.74/9,203.79 = 1,753.02/x
  3. Step 3: Cross multiply
    6,136.74x = 9,203.79 × 1,753.02
  4. Step 4: Simplify right side
    6,136.74x = 16,134,427.95
  5. Step 5: Solve for x
    x = 16,134,427.95/6,136.74
  6. Step 6: Final answer
    x = 2,629.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.