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Finding the Fourth Proportional to 9,539.67, 13,169.69 and 7,410.43

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Solution

The fourth proportional to 9,539.67, 13,169.69 and 7,410.43 is: 10,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.67 : 13,169.69 = 7,410.43 : x
  2. Step 2: Convert to fraction form
    9,539.67/13,169.69 = 7,410.43/x
  3. Step 3: Cross multiply
    9,539.67x = 13,169.69 × 7,410.43
  4. Step 4: Simplify right side
    9,539.67x = 97,593,065.87
  5. Step 5: Solve for x
    x = 97,593,065.87/9,539.67
  6. Step 6: Final answer
    x = 10,230.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.