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Finding the Fourth Proportional to 6,173.57, 9,260.38 and 1,493.57

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Solution

The fourth proportional to 6,173.57, 9,260.38 and 1,493.57 is: 2,240.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.57 : 9,260.38 = 1,493.57 : x
  2. Step 2: Convert to fraction form
    6,173.57/9,260.38 = 1,493.57/x
  3. Step 3: Cross multiply
    6,173.57x = 9,260.38 × 1,493.57
  4. Step 4: Simplify right side
    6,173.57x = 13,831,025.76
  5. Step 5: Solve for x
    x = 13,831,025.76/6,173.57
  6. Step 6: Final answer
    x = 2,240.36

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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.