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Finding the Fourth Proportional to 6,092.53, 9,138.77 and 1,475.53

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Solution

The fourth proportional to 6,092.53, 9,138.77 and 1,475.53 is: 2,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.53 : 9,138.77 = 1,475.53 : x
  2. Step 2: Convert to fraction form
    6,092.53/9,138.77 = 1,475.53/x
  3. Step 3: Cross multiply
    6,092.53x = 9,138.77 × 1,475.53
  4. Step 4: Simplify right side
    6,092.53x = 13,484,521.92
  5. Step 5: Solve for x
    x = 13,484,521.92/6,092.53
  6. Step 6: Final answer
    x = 2,213.29

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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.