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Finding the Fourth Proportional to 9,395.12, 12,960.74 and 6,209.66

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Solution

The fourth proportional to 9,395.12, 12,960.74 and 6,209.66 is: 8,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.12 : 12,960.74 = 6,209.66 : x
  2. Step 2: Convert to fraction form
    9,395.12/12,960.74 = 6,209.66/x
  3. Step 3: Cross multiply
    9,395.12x = 12,960.74 × 6,209.66
  4. Step 4: Simplify right side
    9,395.12x = 80,481,836.67
  5. Step 5: Solve for x
    x = 80,481,836.67/9,395.12
  6. Step 6: Final answer
    x = 8,566.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.