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Finding the Fourth Proportional to 9,650.66, 14,398 and 8,247.74

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Solution

The fourth proportional to 9,650.66, 14,398 and 8,247.74 is: 12,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.66 : 14,398 = 8,247.74 : x
  2. Step 2: Convert to fraction form
    9,650.66/14,398 = 8,247.74/x
  3. Step 3: Cross multiply
    9,650.66x = 14,398 × 8,247.74
  4. Step 4: Simplify right side
    9,650.66x = 118,750,960.52
  5. Step 5: Solve for x
    x = 118,750,960.52/9,650.66
  6. Step 6: Final answer
    x = 12,304.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.