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Finding the Fourth Proportional to 9,465.86, 14,198.67 and 3,224.18

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Solution

The fourth proportional to 9,465.86, 14,198.67 and 3,224.18 is: 4,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.86 : 14,198.67 = 3,224.18 : x
  2. Step 2: Convert to fraction form
    9,465.86/14,198.67 = 3,224.18/x
  3. Step 3: Cross multiply
    9,465.86x = 14,198.67 × 3,224.18
  4. Step 4: Simplify right side
    9,465.86x = 45,779,067.84
  5. Step 5: Solve for x
    x = 45,779,067.84/9,465.86
  6. Step 6: Final answer
    x = 4,836.23

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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.