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Finding the Fourth Proportional to 6,347.20, 9,520.56 and 3,431.20

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Solution

The fourth proportional to 6,347.20, 9,520.56 and 3,431.20 is: 5,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.20 : 9,520.56 = 3,431.20 : x
  2. Step 2: Convert to fraction form
    6,347.20/9,520.56 = 3,431.20/x
  3. Step 3: Cross multiply
    6,347.20x = 9,520.56 × 3,431.20
  4. Step 4: Simplify right side
    6,347.20x = 32,666,945.47
  5. Step 5: Solve for x
    x = 32,666,945.47/6,347.20
  6. Step 6: Final answer
    x = 5,146.67

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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.