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Finding the Fourth Proportional to 9,085.42, 13,630.70 and 8,217.91

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Solution

The fourth proportional to 9,085.42, 13,630.70 and 8,217.91 is: 12,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.42 : 13,630.70 = 8,217.91 : x
  2. Step 2: Convert to fraction form
    9,085.42/13,630.70 = 8,217.91/x
  3. Step 3: Cross multiply
    9,085.42x = 13,630.70 × 8,217.91
  4. Step 4: Simplify right side
    9,085.42x = 112,015,865.84
  5. Step 5: Solve for x
    x = 112,015,865.84/9,085.42
  6. Step 6: Final answer
    x = 12,329.19

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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.