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Finding the Fourth Proportional to 9,338.88, 14,008.33 and 3,097.24

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Solution

The fourth proportional to 9,338.88, 14,008.33 and 3,097.24 is: 4,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.88 : 14,008.33 = 3,097.24 : x
  2. Step 2: Convert to fraction form
    9,338.88/14,008.33 = 3,097.24/x
  3. Step 3: Cross multiply
    9,338.88x = 14,008.33 × 3,097.24
  4. Step 4: Simplify right side
    9,338.88x = 43,387,190.23
  5. Step 5: Solve for x
    x = 43,387,190.23/9,338.88
  6. Step 6: Final answer
    x = 4,645.87

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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.