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Finding the Fourth Proportional to 6,966.36, 9,613.98 and 4,135.41

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Solution

The fourth proportional to 6,966.36, 9,613.98 and 4,135.41 is: 5,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.36 : 9,613.98 = 4,135.41 : x
  2. Step 2: Convert to fraction form
    6,966.36/9,613.98 = 4,135.41/x
  3. Step 3: Cross multiply
    6,966.36x = 9,613.98 × 4,135.41
  4. Step 4: Simplify right side
    6,966.36x = 39,757,749.03
  5. Step 5: Solve for x
    x = 39,757,749.03/6,966.36
  6. Step 6: Final answer
    x = 5,707.11

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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.