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Finding the Fourth Proportional to 9,268.84, 13,886.52 and 6,141.43

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Solution

The fourth proportional to 9,268.84, 13,886.52 and 6,141.43 is: 9,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.84 : 13,886.52 = 6,141.43 : x
  2. Step 2: Convert to fraction form
    9,268.84/13,886.52 = 6,141.43/x
  3. Step 3: Cross multiply
    9,268.84x = 13,886.52 × 6,141.43
  4. Step 4: Simplify right side
    9,268.84x = 85,283,090.52
  5. Step 5: Solve for x
    x = 85,283,090.52/9,268.84
  6. Step 6: Final answer
    x = 9,201.05

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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.