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Finding the Fourth Proportional to 6,241.80, 9,322.19 and 5,655.64

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Solution

The fourth proportional to 6,241.80, 9,322.19 and 5,655.64 is: 8,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.80 : 9,322.19 = 5,655.64 : x
  2. Step 2: Convert to fraction form
    6,241.80/9,322.19 = 5,655.64/x
  3. Step 3: Cross multiply
    6,241.80x = 9,322.19 × 5,655.64
  4. Step 4: Simplify right side
    6,241.80x = 52,722,950.65
  5. Step 5: Solve for x
    x = 52,722,950.65/6,241.80
  6. Step 6: Final answer
    x = 8,446.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.