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Finding the Fourth Proportional to 6,158.02, 9,237.02 and 2,262.42

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Solution

The fourth proportional to 6,158.02, 9,237.02 and 2,262.42 is: 3,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.02 : 9,237.02 = 2,262.42 : x
  2. Step 2: Convert to fraction form
    6,158.02/9,237.02 = 2,262.42/x
  3. Step 3: Cross multiply
    6,158.02x = 9,237.02 × 2,262.42
  4. Step 4: Simplify right side
    6,158.02x = 20,898,024.44
  5. Step 5: Solve for x
    x = 20,898,024.44/6,158.02
  6. Step 6: Final answer
    x = 3,393.63

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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.