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Finding the Fourth Proportional to 9,313.83, 13,969.38 and 3,074.05

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Solution

The fourth proportional to 9,313.83, 13,969.38 and 3,074.05 is: 4,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.83 : 13,969.38 = 3,074.05 : x
  2. Step 2: Convert to fraction form
    9,313.83/13,969.38 = 3,074.05/x
  3. Step 3: Cross multiply
    9,313.83x = 13,969.38 × 3,074.05
  4. Step 4: Simplify right side
    9,313.83x = 42,942,545.35
  5. Step 5: Solve for x
    x = 42,942,545.35/9,313.83
  6. Step 6: Final answer
    x = 4,610.62

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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.