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Finding the Fourth Proportional to 6,158.38, 9,237.72 and 1,998.45

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Solution

The fourth proportional to 6,158.38, 9,237.72 and 1,998.45 is: 2,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.38 : 9,237.72 = 1,998.45 : x
  2. Step 2: Convert to fraction form
    6,158.38/9,237.72 = 1,998.45/x
  3. Step 3: Cross multiply
    6,158.38x = 9,237.72 × 1,998.45
  4. Step 4: Simplify right side
    6,158.38x = 18,461,097.43
  5. Step 5: Solve for x
    x = 18,461,097.43/6,158.38
  6. Step 6: Final answer
    x = 2,997.72

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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.