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Finding the Fourth Proportional to 9,474.49, 13,074.07 and 5,225.71

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Solution

The fourth proportional to 9,474.49, 13,074.07 and 5,225.71 is: 7,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.49 : 13,074.07 = 5,225.71 : x
  2. Step 2: Convert to fraction form
    9,474.49/13,074.07 = 5,225.71/x
  3. Step 3: Cross multiply
    9,474.49x = 13,074.07 × 5,225.71
  4. Step 4: Simplify right side
    9,474.49x = 68,321,301.62
  5. Step 5: Solve for x
    x = 68,321,301.62/9,474.49
  6. Step 6: Final answer
    x = 7,211.08

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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.