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Finding the Fourth Proportional to 9,065.44, 13,594.90 and 3,140.73

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Solution

The fourth proportional to 9,065.44, 13,594.90 and 3,140.73 is: 4,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.44 : 13,594.90 = 3,140.73 : x
  2. Step 2: Convert to fraction form
    9,065.44/13,594.90 = 3,140.73/x
  3. Step 3: Cross multiply
    9,065.44x = 13,594.90 × 3,140.73
  4. Step 4: Simplify right side
    9,065.44x = 42,697,910.28
  5. Step 5: Solve for x
    x = 42,697,910.28/9,065.44
  6. Step 6: Final answer
    x = 4,709.97

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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.