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Finding the Fourth Proportional to 9,637.13, 14,467.85 and 8,329.19

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Solution

The fourth proportional to 9,637.13, 14,467.85 and 8,329.19 is: 12,504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.13 : 14,467.85 = 8,329.19 : x
  2. Step 2: Convert to fraction form
    9,637.13/14,467.85 = 8,329.19/x
  3. Step 3: Cross multiply
    9,637.13x = 14,467.85 × 8,329.19
  4. Step 4: Simplify right side
    9,637.13x = 120,505,357.56
  5. Step 5: Solve for x
    x = 120,505,357.56/9,637.13
  6. Step 6: Final answer
    x = 12,504.28

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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.