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Finding the Fourth Proportional to 10,358.28, 14,194.81 and 9,361.80

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Solution

The fourth proportional to 10,358.28, 14,194.81 and 9,361.80 is: 12,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.28 : 14,194.81 = 9,361.80 : x
  2. Step 2: Convert to fraction form
    10,358.28/14,194.81 = 9,361.80/x
  3. Step 3: Cross multiply
    10,358.28x = 14,194.81 × 9,361.80
  4. Step 4: Simplify right side
    10,358.28x = 132,888,972.26
  5. Step 5: Solve for x
    x = 132,888,972.26/10,358.28
  6. Step 6: Final answer
    x = 12,829.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.