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Finding the Fourth Proportional to 6,136.95, 9,206.90 and 1,977.36

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Solution

The fourth proportional to 6,136.95, 9,206.90 and 1,977.36 is: 2,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.95 : 9,206.90 = 1,977.36 : x
  2. Step 2: Convert to fraction form
    6,136.95/9,206.90 = 1,977.36/x
  3. Step 3: Cross multiply
    6,136.95x = 9,206.90 × 1,977.36
  4. Step 4: Simplify right side
    6,136.95x = 18,205,314.69
  5. Step 5: Solve for x
    x = 18,205,314.69/6,136.95
  6. Step 6: Final answer
    x = 2,966.51

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