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Finding the Fourth Proportional to 6,136.86, 9,205.23 and 4,056.36

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Solution

The fourth proportional to 6,136.86, 9,205.23 and 4,056.36 is: 6,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.86 : 9,205.23 = 4,056.36 : x
  2. Step 2: Convert to fraction form
    6,136.86/9,205.23 = 4,056.36/x
  3. Step 3: Cross multiply
    6,136.86x = 9,205.23 × 4,056.36
  4. Step 4: Simplify right side
    6,136.86x = 37,339,726.76
  5. Step 5: Solve for x
    x = 37,339,726.76/6,136.86
  6. Step 6: Final answer
    x = 6,084.50

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Why These Related Problems?

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