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Finding the Fourth Proportional to 9,122.67, 13,674.69 and 4,195.89

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Solution

The fourth proportional to 9,122.67, 13,674.69 and 4,195.89 is: 6,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.67 : 13,674.69 = 4,195.89 : x
  2. Step 2: Convert to fraction form
    9,122.67/13,674.69 = 4,195.89/x
  3. Step 3: Cross multiply
    9,122.67x = 13,674.69 × 4,195.89
  4. Step 4: Simplify right side
    9,122.67x = 57,377,495.02
  5. Step 5: Solve for x
    x = 57,377,495.02/9,122.67
  6. Step 6: Final answer
    x = 6,289.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.