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Finding the Fourth Proportional to 9,963.40, 14,945.10 and 8,116.60

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Solution

The fourth proportional to 9,963.40, 14,945.10 and 8,116.60 is: 12,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.40 : 14,945.10 = 8,116.60 : x
  2. Step 2: Convert to fraction form
    9,963.40/14,945.10 = 8,116.60/x
  3. Step 3: Cross multiply
    9,963.40x = 14,945.10 × 8,116.60
  4. Step 4: Simplify right side
    9,963.40x = 121,303,398.66
  5. Step 5: Solve for x
    x = 121,303,398.66/9,963.40
  6. Step 6: Final answer
    x = 12,174.90

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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.