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Finding the Fourth Proportional to 9,130.20, 13,696.74 and 3,936.12

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Solution

The fourth proportional to 9,130.20, 13,696.74 and 3,936.12 is: 5,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.20 : 13,696.74 = 3,936.12 : x
  2. Step 2: Convert to fraction form
    9,130.20/13,696.74 = 3,936.12/x
  3. Step 3: Cross multiply
    9,130.20x = 13,696.74 × 3,936.12
  4. Step 4: Simplify right side
    9,130.20x = 53,912,012.25
  5. Step 5: Solve for x
    x = 53,912,012.25/9,130.20
  6. Step 6: Final answer
    x = 5,904.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.