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Finding the Fourth Proportional to 9,445.86, 13,035.09 and 5,197.02

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Solution

The fourth proportional to 9,445.86, 13,035.09 and 5,197.02 is: 7,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.86 : 13,035.09 = 5,197.02 : x
  2. Step 2: Convert to fraction form
    9,445.86/13,035.09 = 5,197.02/x
  3. Step 3: Cross multiply
    9,445.86x = 13,035.09 × 5,197.02
  4. Step 4: Simplify right side
    9,445.86x = 67,743,623.43
  5. Step 5: Solve for x
    x = 67,743,623.43/9,445.86
  6. Step 6: Final answer
    x = 7,171.78

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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.