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Finding the Fourth Proportional to 6,429.42, 9,644.90 and 2,268.57

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Solution

The fourth proportional to 6,429.42, 9,644.90 and 2,268.57 is: 3,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.42 : 9,644.90 = 2,268.57 : x
  2. Step 2: Convert to fraction form
    6,429.42/9,644.90 = 2,268.57/x
  3. Step 3: Cross multiply
    6,429.42x = 9,644.90 × 2,268.57
  4. Step 4: Simplify right side
    6,429.42x = 21,880,130.79
  5. Step 5: Solve for x
    x = 21,880,130.79/6,429.42
  6. Step 6: Final answer
    x = 3,403.13

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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.