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Finding the Fourth Proportional to 6,429.90, 9,638.08 and 3,138.46

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Solution

The fourth proportional to 6,429.90, 9,638.08 and 3,138.46 is: 4,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.90 : 9,638.08 = 3,138.46 : x
  2. Step 2: Convert to fraction form
    6,429.90/9,638.08 = 3,138.46/x
  3. Step 3: Cross multiply
    6,429.90x = 9,638.08 × 3,138.46
  4. Step 4: Simplify right side
    6,429.90x = 30,248,728.56
  5. Step 5: Solve for x
    x = 30,248,728.56/6,429.90
  6. Step 6: Final answer
    x = 4,704.39

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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.