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Finding the Fourth Proportional to 6,406.08, 9,608.40 and 2,023.20

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Solution

The fourth proportional to 6,406.08, 9,608.40 and 2,023.20 is: 3,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.08 : 9,608.40 = 2,023.20 : x
  2. Step 2: Convert to fraction form
    6,406.08/9,608.40 = 2,023.20/x
  3. Step 3: Cross multiply
    6,406.08x = 9,608.40 × 2,023.20
  4. Step 4: Simplify right side
    6,406.08x = 19,439,714.88
  5. Step 5: Solve for x
    x = 19,439,714.88/6,406.08
  6. Step 6: Final answer
    x = 3,034.57

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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.