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Finding the Fourth Proportional to 8,429.40, 12,627.17 and 4,199.90

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Solution

The fourth proportional to 8,429.40, 12,627.17 and 4,199.90 is: 6,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.40 : 12,627.17 = 4,199.90 : x
  2. Step 2: Convert to fraction form
    8,429.40/12,627.17 = 4,199.90/x
  3. Step 3: Cross multiply
    8,429.40x = 12,627.17 × 4,199.90
  4. Step 4: Simplify right side
    8,429.40x = 53,032,767.15
  5. Step 5: Solve for x
    x = 53,032,767.15/8,429.40
  6. Step 6: Final answer
    x = 6,291.40

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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.