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Finding the Fourth Proportional to 9,789.36, 14,664.18 and 7,818.30

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Solution

The fourth proportional to 9,789.36, 14,664.18 and 7,818.30 is: 11,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.36 : 14,664.18 = 7,818.30 : x
  2. Step 2: Convert to fraction form
    9,789.36/14,664.18 = 7,818.30/x
  3. Step 3: Cross multiply
    9,789.36x = 14,664.18 × 7,818.30
  4. Step 4: Simplify right side
    9,789.36x = 114,648,958.49
  5. Step 5: Solve for x
    x = 114,648,958.49/9,789.36
  6. Step 6: Final answer
    x = 11,711.59

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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.