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Finding the Fourth Proportional to 8,772.90, 13,166.34 and 3,846

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Solution

The fourth proportional to 8,772.90, 13,166.34 and 3,846 is: 5,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,772.90 : 13,166.34 = 3,846 : x
  2. Step 2: Convert to fraction form
    8,772.90/13,166.34 = 3,846/x
  3. Step 3: Cross multiply
    8,772.90x = 13,166.34 × 3,846
  4. Step 4: Simplify right side
    8,772.90x = 50,637,743.64
  5. Step 5: Solve for x
    x = 50,637,743.64/8,772.90
  6. Step 6: Final answer
    x = 5,772.06

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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.