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Finding the Fourth Proportional to 9,131.67, 12,601.85 and 5,152.82

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Solution

The fourth proportional to 9,131.67, 12,601.85 and 5,152.82 is: 7,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.67 : 12,601.85 = 5,152.82 : x
  2. Step 2: Convert to fraction form
    9,131.67/12,601.85 = 5,152.82/x
  3. Step 3: Cross multiply
    9,131.67x = 12,601.85 × 5,152.82
  4. Step 4: Simplify right side
    9,131.67x = 64,934,975.94
  5. Step 5: Solve for x
    x = 64,934,975.94/9,131.67
  6. Step 6: Final answer
    x = 7,110.96

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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.