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Finding the Fourth Proportional to 6,092.56, 9,137.40 and 2,803.60

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Solution

The fourth proportional to 6,092.56, 9,137.40 and 2,803.60 is: 4,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.56 : 9,137.40 = 2,803.60 : x
  2. Step 2: Convert to fraction form
    6,092.56/9,137.40 = 2,803.60/x
  3. Step 3: Cross multiply
    6,092.56x = 9,137.40 × 2,803.60
  4. Step 4: Simplify right side
    6,092.56x = 25,617,614.64
  5. Step 5: Solve for x
    x = 25,617,614.64/6,092.56
  6. Step 6: Final answer
    x = 4,204.74

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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.