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Finding the Fourth Proportional to 9,943.96, 14,910.14 and 7,691.64

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Solution

The fourth proportional to 9,943.96, 14,910.14 and 7,691.64 is: 11,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.96 : 14,910.14 = 7,691.64 : x
  2. Step 2: Convert to fraction form
    9,943.96/14,910.14 = 7,691.64/x
  3. Step 3: Cross multiply
    9,943.96x = 14,910.14 × 7,691.64
  4. Step 4: Simplify right side
    9,943.96x = 114,683,429.23
  5. Step 5: Solve for x
    x = 114,683,429.23/9,943.96
  6. Step 6: Final answer
    x = 11,532.97

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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.