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Finding the Fourth Proportional to 6,093.23, 9,122.02 and 5,509.57

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Solution

The fourth proportional to 6,093.23, 9,122.02 and 5,509.57 is: 8,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.23 : 9,122.02 = 5,509.57 : x
  2. Step 2: Convert to fraction form
    6,093.23/9,122.02 = 5,509.57/x
  3. Step 3: Cross multiply
    6,093.23x = 9,122.02 × 5,509.57
  4. Step 4: Simplify right side
    6,093.23x = 50,258,388.26
  5. Step 5: Solve for x
    x = 50,258,388.26/6,093.23
  6. Step 6: Final answer
    x = 8,248.24

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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.