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Finding the Fourth Proportional to 6,136.73, 9,209.76 and 4,497.56

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Solution

The fourth proportional to 6,136.73, 9,209.76 and 4,497.56 is: 6,749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.73 : 9,209.76 = 4,497.56 : x
  2. Step 2: Convert to fraction form
    6,136.73/9,209.76 = 4,497.56/x
  3. Step 3: Cross multiply
    6,136.73x = 9,209.76 × 4,497.56
  4. Step 4: Simplify right side
    6,136.73x = 41,421,448.19
  5. Step 5: Solve for x
    x = 41,421,448.19/6,136.73
  6. Step 6: Final answer
    x = 6,749.76

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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.