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Finding the Fourth Proportional to 7,129.45, 9,836.13 and 4,144.60

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Solution

The fourth proportional to 7,129.45, 9,836.13 and 4,144.60 is: 5,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.45 : 9,836.13 = 4,144.60 : x
  2. Step 2: Convert to fraction form
    7,129.45/9,836.13 = 4,144.60/x
  3. Step 3: Cross multiply
    7,129.45x = 9,836.13 × 4,144.60
  4. Step 4: Simplify right side
    7,129.45x = 40,766,824.40
  5. Step 5: Solve for x
    x = 40,766,824.40/7,129.45
  6. Step 6: Final answer
    x = 5,718.09

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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.