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Finding the Fourth Proportional to 6,232.02, 9,348.03 and 5,851.86

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Solution

The fourth proportional to 6,232.02, 9,348.03 and 5,851.86 is: 8,777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.02 : 9,348.03 = 5,851.86 : x
  2. Step 2: Convert to fraction form
    6,232.02/9,348.03 = 5,851.86/x
  3. Step 3: Cross multiply
    6,232.02x = 9,348.03 × 5,851.86
  4. Step 4: Simplify right side
    6,232.02x = 54,703,362.84
  5. Step 5: Solve for x
    x = 54,703,362.84/6,232.02
  6. Step 6: Final answer
    x = 8,777.79

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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.