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Finding the Fourth Proportional to 7,136.46, 9,846.62 and 4,150.50

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Solution

The fourth proportional to 7,136.46, 9,846.62 and 4,150.50 is: 5,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.46 : 9,846.62 = 4,150.50 : x
  2. Step 2: Convert to fraction form
    7,136.46/9,846.62 = 4,150.50/x
  3. Step 3: Cross multiply
    7,136.46x = 9,846.62 × 4,150.50
  4. Step 4: Simplify right side
    7,136.46x = 40,868,396.31
  5. Step 5: Solve for x
    x = 40,868,396.31/7,136.46
  6. Step 6: Final answer
    x = 5,726.70

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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.