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Finding the Fourth Proportional to 6,817.95, 9,409.23 and 5,136.39

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Solution

The fourth proportional to 6,817.95, 9,409.23 and 5,136.39 is: 7,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.95 : 9,409.23 = 5,136.39 : x
  2. Step 2: Convert to fraction form
    6,817.95/9,409.23 = 5,136.39/x
  3. Step 3: Cross multiply
    6,817.95x = 9,409.23 × 5,136.39
  4. Step 4: Simplify right side
    6,817.95x = 48,329,474.88
  5. Step 5: Solve for x
    x = 48,329,474.88/6,817.95
  6. Step 6: Final answer
    x = 7,088.56

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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.