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Finding the Fourth Proportional to 9,471.30, 13,069.44 and 5,493.74

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Solution

The fourth proportional to 9,471.30, 13,069.44 and 5,493.74 is: 7,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.30 : 13,069.44 = 5,493.74 : x
  2. Step 2: Convert to fraction form
    9,471.30/13,069.44 = 5,493.74/x
  3. Step 3: Cross multiply
    9,471.30x = 13,069.44 × 5,493.74
  4. Step 4: Simplify right side
    9,471.30x = 71,800,105.31
  5. Step 5: Solve for x
    x = 71,800,105.31/9,471.30
  6. Step 6: Final answer
    x = 7,580.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.