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Finding the Fourth Proportional to 9,197.72, 12,697.26 and 5,663.96

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Solution

The fourth proportional to 9,197.72, 12,697.26 and 5,663.96 is: 7,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.72 : 12,697.26 = 5,663.96 : x
  2. Step 2: Convert to fraction form
    9,197.72/12,697.26 = 5,663.96/x
  3. Step 3: Cross multiply
    9,197.72x = 12,697.26 × 5,663.96
  4. Step 4: Simplify right side
    9,197.72x = 71,916,772.75
  5. Step 5: Solve for x
    x = 71,916,772.75/9,197.72
  6. Step 6: Final answer
    x = 7,818.98

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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.