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Finding the Fourth Proportional to 6,945.14, 9,588.76 and 6,197.81

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Solution

The fourth proportional to 6,945.14, 9,588.76 and 6,197.81 is: 8,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.14 : 9,588.76 = 6,197.81 : x
  2. Step 2: Convert to fraction form
    6,945.14/9,588.76 = 6,197.81/x
  3. Step 3: Cross multiply
    6,945.14x = 9,588.76 × 6,197.81
  4. Step 4: Simplify right side
    6,945.14x = 59,429,312.62
  5. Step 5: Solve for x
    x = 59,429,312.62/6,945.14
  6. Step 6: Final answer
    x = 8,556.96

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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.