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Finding the Fourth Proportional to 6,405.52, 9,609.45 and 2,024.20

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Solution

The fourth proportional to 6,405.52, 9,609.45 and 2,024.20 is: 3,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.52 : 9,609.45 = 2,024.20 : x
  2. Step 2: Convert to fraction form
    6,405.52/9,609.45 = 2,024.20/x
  3. Step 3: Cross multiply
    6,405.52x = 9,609.45 × 2,024.20
  4. Step 4: Simplify right side
    6,405.52x = 19,451,448.69
  5. Step 5: Solve for x
    x = 19,451,448.69/6,405.52
  6. Step 6: Final answer
    x = 3,036.67

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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.