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Finding the Fourth Proportional to 8,137.80, 12,206.70 and 6,064.20

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Solution

The fourth proportional to 8,137.80, 12,206.70 and 6,064.20 is: 9,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.80 : 12,206.70 = 6,064.20 : x
  2. Step 2: Convert to fraction form
    8,137.80/12,206.70 = 6,064.20/x
  3. Step 3: Cross multiply
    8,137.80x = 12,206.70 × 6,064.20
  4. Step 4: Simplify right side
    8,137.80x = 74,023,870.14
  5. Step 5: Solve for x
    x = 74,023,870.14/8,137.80
  6. Step 6: Final answer
    x = 9,096.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.