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Finding the Fourth Proportional to 9,136.11, 12,607.84 and 4,944.36

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Solution

The fourth proportional to 9,136.11, 12,607.84 and 4,944.36 is: 6,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.11 : 12,607.84 = 4,944.36 : x
  2. Step 2: Convert to fraction form
    9,136.11/12,607.84 = 4,944.36/x
  3. Step 3: Cross multiply
    9,136.11x = 12,607.84 × 4,944.36
  4. Step 4: Simplify right side
    9,136.11x = 62,337,624.38
  5. Step 5: Solve for x
    x = 62,337,624.38/9,136.11
  6. Step 6: Final answer
    x = 6,823.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.