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Finding the Fourth Proportional to 6,406.10, 9,609.60 and 2,024.18

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Solution

The fourth proportional to 6,406.10, 9,609.60 and 2,024.18 is: 3,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.10 : 9,609.60 = 2,024.18 : x
  2. Step 2: Convert to fraction form
    6,406.10/9,609.60 = 2,024.18/x
  3. Step 3: Cross multiply
    6,406.10x = 9,609.60 × 2,024.18
  4. Step 4: Simplify right side
    6,406.10x = 19,451,560.13
  5. Step 5: Solve for x
    x = 19,451,560.13/6,406.10
  6. Step 6: Final answer
    x = 3,036.41

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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.