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Finding the Fourth Proportional to 6,321.90, 9,462.18 and 5,715.60

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Solution

The fourth proportional to 6,321.90, 9,462.18 and 5,715.60 is: 8,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.90 : 9,462.18 = 5,715.60 : x
  2. Step 2: Convert to fraction form
    6,321.90/9,462.18 = 5,715.60/x
  3. Step 3: Cross multiply
    6,321.90x = 9,462.18 × 5,715.60
  4. Step 4: Simplify right side
    6,321.90x = 54,082,036.01
  5. Step 5: Solve for x
    x = 54,082,036.01/6,321.90
  6. Step 6: Final answer
    x = 8,554.71

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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.