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Finding the Fourth Proportional to 5,962.96, 8,945.96 and 4,211.38

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Solution

The fourth proportional to 5,962.96, 8,945.96 and 4,211.38 is: 6,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.96 : 8,945.96 = 4,211.38 : x
  2. Step 2: Convert to fraction form
    5,962.96/8,945.96 = 4,211.38/x
  3. Step 3: Cross multiply
    5,962.96x = 8,945.96 × 4,211.38
  4. Step 4: Simplify right side
    5,962.96x = 37,674,837.02
  5. Step 5: Solve for x
    x = 37,674,837.02/5,962.96
  6. Step 6: Final answer
    x = 6,318.14

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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.