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Finding the Fourth Proportional to 9,196.50, 12,687.23 and 7,199.04

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Solution

The fourth proportional to 9,196.50, 12,687.23 and 7,199.04 is: 9,931.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.50 : 12,687.23 = 7,199.04 : x
  2. Step 2: Convert to fraction form
    9,196.50/12,687.23 = 7,199.04/x
  3. Step 3: Cross multiply
    9,196.50x = 12,687.23 × 7,199.04
  4. Step 4: Simplify right side
    9,196.50x = 91,335,876.26
  5. Step 5: Solve for x
    x = 91,335,876.26/9,196.50
  6. Step 6: Final answer
    x = 9,931.59

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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.