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Finding the Fourth Proportional to 9,071.97, 13,613.15 and 3,524.60

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Solution

The fourth proportional to 9,071.97, 13,613.15 and 3,524.60 is: 5,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.97 : 13,613.15 = 3,524.60 : x
  2. Step 2: Convert to fraction form
    9,071.97/13,613.15 = 3,524.60/x
  3. Step 3: Cross multiply
    9,071.97x = 13,613.15 × 3,524.60
  4. Step 4: Simplify right side
    9,071.97x = 47,980,908.49
  5. Step 5: Solve for x
    x = 47,980,908.49/9,071.97
  6. Step 6: Final answer
    x = 5,288.92

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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.