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Finding the Fourth Proportional to 6,266.17, 9,398.93 and 2,106.21

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Solution

The fourth proportional to 6,266.17, 9,398.93 and 2,106.21 is: 3,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.17 : 9,398.93 = 2,106.21 : x
  2. Step 2: Convert to fraction form
    6,266.17/9,398.93 = 2,106.21/x
  3. Step 3: Cross multiply
    6,266.17x = 9,398.93 × 2,106.21
  4. Step 4: Simplify right side
    6,266.17x = 19,796,120.36
  5. Step 5: Solve for x
    x = 19,796,120.36/6,266.17
  6. Step 6: Final answer
    x = 3,159.21

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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.