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Finding the Fourth Proportional to 6,266.06, 9,399.69 and 2,106.11

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Solution

The fourth proportional to 6,266.06, 9,399.69 and 2,106.11 is: 3,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.06 : 9,399.69 = 2,106.11 : x
  2. Step 2: Convert to fraction form
    6,266.06/9,399.69 = 2,106.11/x
  3. Step 3: Cross multiply
    6,266.06x = 9,399.69 × 2,106.11
  4. Step 4: Simplify right side
    6,266.06x = 19,796,734.11
  5. Step 5: Solve for x
    x = 19,796,734.11/6,266.06
  6. Step 6: Final answer
    x = 3,159.36

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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.