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Finding the Fourth Proportional to 6,624.38, 9,137.85 and 4,136.06

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Solution

The fourth proportional to 6,624.38, 9,137.85 and 4,136.06 is: 5,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.38 : 9,137.85 = 4,136.06 : x
  2. Step 2: Convert to fraction form
    6,624.38/9,137.85 = 4,136.06/x
  3. Step 3: Cross multiply
    6,624.38x = 9,137.85 × 4,136.06
  4. Step 4: Simplify right side
    6,624.38x = 37,794,703.21
  5. Step 5: Solve for x
    x = 37,794,703.21/6,624.38
  6. Step 6: Final answer
    x = 5,705.39

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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.