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Finding the Fourth Proportional to 6,268.32, 8,646.48 and 4,143.84

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Solution

The fourth proportional to 6,268.32, 8,646.48 and 4,143.84 is: 5,715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.32 : 8,646.48 = 4,143.84 : x
  2. Step 2: Convert to fraction form
    6,268.32/8,646.48 = 4,143.84/x
  3. Step 3: Cross multiply
    6,268.32x = 8,646.48 × 4,143.84
  4. Step 4: Simplify right side
    6,268.32x = 35,829,629.68
  5. Step 5: Solve for x
    x = 35,829,629.68/6,268.32
  6. Step 6: Final answer
    x = 5,715.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.