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Finding the Fourth Proportional to 9,176.08, 12,663.03 and 5,197.96

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Solution

The fourth proportional to 9,176.08, 12,663.03 and 5,197.96 is: 7,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.08 : 12,663.03 = 5,197.96 : x
  2. Step 2: Convert to fraction form
    9,176.08/12,663.03 = 5,197.96/x
  3. Step 3: Cross multiply
    9,176.08x = 12,663.03 × 5,197.96
  4. Step 4: Simplify right side
    9,176.08x = 65,821,923.42
  5. Step 5: Solve for x
    x = 65,821,923.42/9,176.08
  6. Step 6: Final answer
    x = 7,173.21

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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.