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Finding the Fourth Proportional to 7,167.14, 9,887.09 and 6,221.67

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Solution

The fourth proportional to 7,167.14, 9,887.09 and 6,221.67 is: 8,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.14 : 9,887.09 = 6,221.67 : x
  2. Step 2: Convert to fraction form
    7,167.14/9,887.09 = 6,221.67/x
  3. Step 3: Cross multiply
    7,167.14x = 9,887.09 × 6,221.67
  4. Step 4: Simplify right side
    7,167.14x = 61,514,211.24
  5. Step 5: Solve for x
    x = 61,514,211.24/7,167.14
  6. Step 6: Final answer
    x = 8,582.81

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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.