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Finding the Fourth Proportional to 10,993.16, 15,146.82 and 9,194.36

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Solution

The fourth proportional to 10,993.16, 15,146.82 and 9,194.36 is: 12,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.16 : 15,146.82 = 9,194.36 : x
  2. Step 2: Convert to fraction form
    10,993.16/15,146.82 = 9,194.36/x
  3. Step 3: Cross multiply
    10,993.16x = 15,146.82 × 9,194.36
  4. Step 4: Simplify right side
    10,993.16x = 139,265,315.94
  5. Step 5: Solve for x
    x = 139,265,315.94/10,993.16
  6. Step 6: Final answer
    x = 12,668.36

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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.