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Finding the Fourth Proportional to 9,508.09, 14,264.47 and 3,268.19

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Solution

The fourth proportional to 9,508.09, 14,264.47 and 3,268.19 is: 4,903.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.09 : 14,264.47 = 3,268.19 : x
  2. Step 2: Convert to fraction form
    9,508.09/14,264.47 = 3,268.19/x
  3. Step 3: Cross multiply
    9,508.09x = 14,264.47 × 3,268.19
  4. Step 4: Simplify right side
    9,508.09x = 46,619,019.57
  5. Step 5: Solve for x
    x = 46,619,019.57/9,508.09
  6. Step 6: Final answer
    x = 4,903.09

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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.