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Finding the Fourth Proportional to 9,344.09, 14,015.84 and 2,324.09

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Solution

The fourth proportional to 9,344.09, 14,015.84 and 2,324.09 is: 3,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.09 : 14,015.84 = 2,324.09 : x
  2. Step 2: Convert to fraction form
    9,344.09/14,015.84 = 2,324.09/x
  3. Step 3: Cross multiply
    9,344.09x = 14,015.84 × 2,324.09
  4. Step 4: Simplify right side
    9,344.09x = 32,574,097.00
  5. Step 5: Solve for x
    x = 32,574,097.00/9,344.09
  6. Step 6: Final answer
    x = 3,486.06

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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.