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Finding the Fourth Proportional to 9,964.20, 14,917.02 and 7,869.48

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Solution

The fourth proportional to 9,964.20, 14,917.02 and 7,869.48 is: 11,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.20 : 14,917.02 = 7,869.48 : x
  2. Step 2: Convert to fraction form
    9,964.20/14,917.02 = 7,869.48/x
  3. Step 3: Cross multiply
    9,964.20x = 14,917.02 × 7,869.48
  4. Step 4: Simplify right side
    9,964.20x = 117,389,190.55
  5. Step 5: Solve for x
    x = 117,389,190.55/9,964.20
  6. Step 6: Final answer
    x = 11,781.10

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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.