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Finding the Fourth Proportional to 6,543.76, 9,814.20 and 2,649.04

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Solution

The fourth proportional to 6,543.76, 9,814.20 and 2,649.04 is: 3,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.76 : 9,814.20 = 2,649.04 : x
  2. Step 2: Convert to fraction form
    6,543.76/9,814.20 = 2,649.04/x
  3. Step 3: Cross multiply
    6,543.76x = 9,814.20 × 2,649.04
  4. Step 4: Simplify right side
    6,543.76x = 25,998,208.37
  5. Step 5: Solve for x
    x = 25,998,208.37/6,543.76
  6. Step 6: Final answer
    x = 3,972.98

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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.