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Finding the Fourth Proportional to 6,359.27, 9,538.74 and 2,199.15

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Solution

The fourth proportional to 6,359.27, 9,538.74 and 2,199.15 is: 3,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.27 : 9,538.74 = 2,199.15 : x
  2. Step 2: Convert to fraction form
    6,359.27/9,538.74 = 2,199.15/x
  3. Step 3: Cross multiply
    6,359.27x = 9,538.74 × 2,199.15
  4. Step 4: Simplify right side
    6,359.27x = 20,977,120.07
  5. Step 5: Solve for x
    x = 20,977,120.07/6,359.27
  6. Step 6: Final answer
    x = 3,298.67

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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.