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Finding the Fourth Proportional to 9,249.60, 13,873.76 and 2,324.16

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Solution

The fourth proportional to 9,249.60, 13,873.76 and 2,324.16 is: 3,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.60 : 13,873.76 = 2,324.16 : x
  2. Step 2: Convert to fraction form
    9,249.60/13,873.76 = 2,324.16/x
  3. Step 3: Cross multiply
    9,249.60x = 13,873.76 × 2,324.16
  4. Step 4: Simplify right side
    9,249.60x = 32,244,838.04
  5. Step 5: Solve for x
    x = 32,244,838.04/9,249.60
  6. Step 6: Final answer
    x = 3,486.08

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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.