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Finding the Fourth Proportional to 6,404.90, 9,606.35 and 2,023.42

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Solution

The fourth proportional to 6,404.90, 9,606.35 and 2,023.42 is: 3,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.90 : 9,606.35 = 2,023.42 : x
  2. Step 2: Convert to fraction form
    6,404.90/9,606.35 = 2,023.42/x
  3. Step 3: Cross multiply
    6,404.90x = 9,606.35 × 2,023.42
  4. Step 4: Simplify right side
    6,404.90x = 19,437,680.72
  5. Step 5: Solve for x
    x = 19,437,680.72/6,404.90
  6. Step 6: Final answer
    x = 3,034.81

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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.