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Finding the Fourth Proportional to 9,386.96, 12,954.12 and 5,195.60

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Solution

The fourth proportional to 9,386.96, 12,954.12 and 5,195.60 is: 7,169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.96 : 12,954.12 = 5,195.60 : x
  2. Step 2: Convert to fraction form
    9,386.96/12,954.12 = 5,195.60/x
  3. Step 3: Cross multiply
    9,386.96x = 12,954.12 × 5,195.60
  4. Step 4: Simplify right side
    9,386.96x = 67,304,425.87
  5. Step 5: Solve for x
    x = 67,304,425.87/9,386.96
  6. Step 6: Final answer
    x = 7,169.99

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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.