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Finding the Fourth Proportional to 6,542.17, 9,814.16 and 2,159.16

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Solution

The fourth proportional to 6,542.17, 9,814.16 and 2,159.16 is: 3,239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.17 : 9,814.16 = 2,159.16 : x
  2. Step 2: Convert to fraction form
    6,542.17/9,814.16 = 2,159.16/x
  3. Step 3: Cross multiply
    6,542.17x = 9,814.16 × 2,159.16
  4. Step 4: Simplify right side
    6,542.17x = 21,190,310.30
  5. Step 5: Solve for x
    x = 21,190,310.30/6,542.17
  6. Step 6: Final answer
    x = 3,239.04

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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.