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Finding the Fourth Proportional to 9,149.72, 13,647.26 and 8,872.82

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Solution

The fourth proportional to 9,149.72, 13,647.26 and 8,872.82 is: 13,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.72 : 13,647.26 = 8,872.82 : x
  2. Step 2: Convert to fraction form
    9,149.72/13,647.26 = 8,872.82/x
  3. Step 3: Cross multiply
    9,149.72x = 13,647.26 × 8,872.82
  4. Step 4: Simplify right side
    9,149.72x = 121,089,681.47
  5. Step 5: Solve for x
    x = 121,089,681.47/9,149.72
  6. Step 6: Final answer
    x = 13,234.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.