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Finding the Fourth Proportional to 9,661.67, 14,495.78 and 6,099.65

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Solution

The fourth proportional to 9,661.67, 14,495.78 and 6,099.65 is: 9,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.67 : 14,495.78 = 6,099.65 : x
  2. Step 2: Convert to fraction form
    9,661.67/14,495.78 = 6,099.65/x
  3. Step 3: Cross multiply
    9,661.67x = 14,495.78 × 6,099.65
  4. Step 4: Simplify right side
    9,661.67x = 88,419,181.61
  5. Step 5: Solve for x
    x = 88,419,181.61/9,661.67
  6. Step 6: Final answer
    x = 9,151.54

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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.