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Finding the Fourth Proportional to 9,500.96, 14,239.75 and 5,332.22

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Solution

The fourth proportional to 9,500.96, 14,239.75 and 5,332.22 is: 7,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.96 : 14,239.75 = 5,332.22 : x
  2. Step 2: Convert to fraction form
    9,500.96/14,239.75 = 5,332.22/x
  3. Step 3: Cross multiply
    9,500.96x = 14,239.75 × 5,332.22
  4. Step 4: Simplify right side
    9,500.96x = 75,929,479.75
  5. Step 5: Solve for x
    x = 75,929,479.75/9,500.96
  6. Step 6: Final answer
    x = 7,991.77

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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.