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Finding the Fourth Proportional to 9,833.24, 14,752.05 and 3,593.24

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Solution

The fourth proportional to 9,833.24, 14,752.05 and 3,593.24 is: 5,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.24 : 14,752.05 = 3,593.24 : x
  2. Step 2: Convert to fraction form
    9,833.24/14,752.05 = 3,593.24/x
  3. Step 3: Cross multiply
    9,833.24x = 14,752.05 × 3,593.24
  4. Step 4: Simplify right side
    9,833.24x = 53,007,656.14
  5. Step 5: Solve for x
    x = 53,007,656.14/9,833.24
  6. Step 6: Final answer
    x = 5,390.66

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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.