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Finding the Fourth Proportional to 9,474.83, 13,074.78 and 5,282.27

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Solution

The fourth proportional to 9,474.83, 13,074.78 and 5,282.27 is: 7,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.83 : 13,074.78 = 5,282.27 : x
  2. Step 2: Convert to fraction form
    9,474.83/13,074.78 = 5,282.27/x
  3. Step 3: Cross multiply
    9,474.83x = 13,074.78 × 5,282.27
  4. Step 4: Simplify right side
    9,474.83x = 69,064,452.78
  5. Step 5: Solve for x
    x = 69,064,452.78/9,474.83
  6. Step 6: Final answer
    x = 7,289.26

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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.