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Finding the Fourth Proportional to 6,165.13, 9,246.78 and 2,268.63

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Solution

The fourth proportional to 6,165.13, 9,246.78 and 2,268.63 is: 3,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.13 : 9,246.78 = 2,268.63 : x
  2. Step 2: Convert to fraction form
    6,165.13/9,246.78 = 2,268.63/x
  3. Step 3: Cross multiply
    6,165.13x = 9,246.78 × 2,268.63
  4. Step 4: Simplify right side
    6,165.13x = 20,977,522.51
  5. Step 5: Solve for x
    x = 20,977,522.51/6,165.13
  6. Step 6: Final answer
    x = 3,402.61

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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.