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Finding the Fourth Proportional to 9,233.43, 13,828.07 and 5,325.99

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Solution

The fourth proportional to 9,233.43, 13,828.07 and 5,325.99 is: 7,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.43 : 13,828.07 = 5,325.99 : x
  2. Step 2: Convert to fraction form
    9,233.43/13,828.07 = 5,325.99/x
  3. Step 3: Cross multiply
    9,233.43x = 13,828.07 × 5,325.99
  4. Step 4: Simplify right side
    9,233.43x = 73,648,162.54
  5. Step 5: Solve for x
    x = 73,648,162.54/9,233.43
  6. Step 6: Final answer
    x = 7,976.25

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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.