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Finding the Fourth Proportional to 9,288.33, 13,932.14 and 2,363.01

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Solution

The fourth proportional to 9,288.33, 13,932.14 and 2,363.01 is: 3,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.33 : 13,932.14 = 2,363.01 : x
  2. Step 2: Convert to fraction form
    9,288.33/13,932.14 = 2,363.01/x
  3. Step 3: Cross multiply
    9,288.33x = 13,932.14 × 2,363.01
  4. Step 4: Simplify right side
    9,288.33x = 32,921,774.33
  5. Step 5: Solve for x
    x = 32,921,774.33/9,288.33
  6. Step 6: Final answer
    x = 3,544.42

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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.