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Finding the Fourth Proportional to 6,543.40, 9,814.14 and 2,160.90

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Solution

The fourth proportional to 6,543.40, 9,814.14 and 2,160.90 is: 3,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.40 : 9,814.14 = 2,160.90 : x
  2. Step 2: Convert to fraction form
    6,543.40/9,814.14 = 2,160.90/x
  3. Step 3: Cross multiply
    6,543.40x = 9,814.14 × 2,160.90
  4. Step 4: Simplify right side
    6,543.40x = 21,207,375.13
  5. Step 5: Solve for x
    x = 21,207,375.13/6,543.40
  6. Step 6: Final answer
    x = 3,241.03

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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.