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Finding the Fourth Proportional to 6,104.35, 9,150.99 and 2,206

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Solution

The fourth proportional to 6,104.35, 9,150.99 and 2,206 is: 3,307.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.35 : 9,150.99 = 2,206 : x
  2. Step 2: Convert to fraction form
    6,104.35/9,150.99 = 2,206/x
  3. Step 3: Cross multiply
    6,104.35x = 9,150.99 × 2,206
  4. Step 4: Simplify right side
    6,104.35x = 20,187,083.94
  5. Step 5: Solve for x
    x = 20,187,083.94/6,104.35
  6. Step 6: Final answer
    x = 3,307.00

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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.