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Finding the Fourth Proportional to 9,245.31, 13,866.66 and 3,005.42

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Solution

The fourth proportional to 9,245.31, 13,866.66 and 3,005.42 is: 4,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.31 : 13,866.66 = 3,005.42 : x
  2. Step 2: Convert to fraction form
    9,245.31/13,866.66 = 3,005.42/x
  3. Step 3: Cross multiply
    9,245.31x = 13,866.66 × 3,005.42
  4. Step 4: Simplify right side
    9,245.31x = 41,675,093.80
  5. Step 5: Solve for x
    x = 41,675,093.80/9,245.31
  6. Step 6: Final answer
    x = 4,507.70

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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.