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Finding the Fourth Proportional to 8,642.30, 12,964.66 and 3,094.61

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Solution

The fourth proportional to 8,642.30, 12,964.66 and 3,094.61 is: 4,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.30 : 12,964.66 = 3,094.61 : x
  2. Step 2: Convert to fraction form
    8,642.30/12,964.66 = 3,094.61/x
  3. Step 3: Cross multiply
    8,642.30x = 12,964.66 × 3,094.61
  4. Step 4: Simplify right side
    8,642.30x = 40,120,493.92
  5. Step 5: Solve for x
    x = 40,120,493.92/8,642.30
  6. Step 6: Final answer
    x = 4,642.34

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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.