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Finding the Fourth Proportional to 10,099.84, 13,942.08 and 6,789.76

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Solution

The fourth proportional to 10,099.84, 13,942.08 and 6,789.76 is: 9,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.84 : 13,942.08 = 6,789.76 : x
  2. Step 2: Convert to fraction form
    10,099.84/13,942.08 = 6,789.76/x
  3. Step 3: Cross multiply
    10,099.84x = 13,942.08 × 6,789.76
  4. Step 4: Simplify right side
    10,099.84x = 94,663,377.10
  5. Step 5: Solve for x
    x = 94,663,377.10/10,099.84
  6. Step 6: Final answer
    x = 9,372.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.