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Finding the Fourth Proportional to 8,449.14, 12,676.74 and 4,285.98

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Solution

The fourth proportional to 8,449.14, 12,676.74 and 4,285.98 is: 6,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.14 : 12,676.74 = 4,285.98 : x
  2. Step 2: Convert to fraction form
    8,449.14/12,676.74 = 4,285.98/x
  3. Step 3: Cross multiply
    8,449.14x = 12,676.74 × 4,285.98
  4. Step 4: Simplify right side
    8,449.14x = 54,332,254.11
  5. Step 5: Solve for x
    x = 54,332,254.11/8,449.14
  6. Step 6: Final answer
    x = 6,430.51

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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.