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Finding the Fourth Proportional to 9,474.33, 13,074.48 and 5,441.82

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Solution

The fourth proportional to 9,474.33, 13,074.48 and 5,441.82 is: 7,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.33 : 13,074.48 = 5,441.82 : x
  2. Step 2: Convert to fraction form
    9,474.33/13,074.48 = 5,441.82/x
  3. Step 3: Cross multiply
    9,474.33x = 13,074.48 × 5,441.82
  4. Step 4: Simplify right side
    9,474.33x = 71,148,966.75
  5. Step 5: Solve for x
    x = 71,148,966.75/9,474.33
  6. Step 6: Final answer
    x = 7,509.66

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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.