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Finding the Fourth Proportional to 9,540.82, 14,308.95 and 3,301.05

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Solution

The fourth proportional to 9,540.82, 14,308.95 and 3,301.05 is: 4,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.82 : 14,308.95 = 3,301.05 : x
  2. Step 2: Convert to fraction form
    9,540.82/14,308.95 = 3,301.05/x
  3. Step 3: Cross multiply
    9,540.82x = 14,308.95 × 3,301.05
  4. Step 4: Simplify right side
    9,540.82x = 47,234,559.40
  5. Step 5: Solve for x
    x = 47,234,559.40/9,540.82
  6. Step 6: Final answer
    x = 4,950.79

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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.