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Finding the Fourth Proportional to 6,544.69, 9,816.99 and 2,649.04

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Solution

The fourth proportional to 6,544.69, 9,816.99 and 2,649.04 is: 3,973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.69 : 9,816.99 = 2,649.04 : x
  2. Step 2: Convert to fraction form
    6,544.69/9,816.99 = 2,649.04/x
  3. Step 3: Cross multiply
    6,544.69x = 9,816.99 × 2,649.04
  4. Step 4: Simplify right side
    6,544.69x = 26,005,599.19
  5. Step 5: Solve for x
    x = 26,005,599.19/6,544.69
  6. Step 6: Final answer
    x = 3,973.54

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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.