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Finding the Fourth Proportional to 6,404.83, 9,608.47 and 2,023.54

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Solution

The fourth proportional to 6,404.83, 9,608.47 and 2,023.54 is: 3,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.83 : 9,608.47 = 2,023.54 : x
  2. Step 2: Convert to fraction form
    6,404.83/9,608.47 = 2,023.54/x
  3. Step 3: Cross multiply
    6,404.83x = 9,608.47 × 2,023.54
  4. Step 4: Simplify right side
    6,404.83x = 19,443,094.30
  5. Step 5: Solve for x
    x = 19,443,094.30/6,404.83
  6. Step 6: Final answer
    x = 3,035.69

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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.