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Finding the Fourth Proportional to 6,100.85, 9,099.71 and 5,916.27

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Solution

The fourth proportional to 6,100.85, 9,099.71 and 5,916.27 is: 8,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.85 : 9,099.71 = 5,916.27 : x
  2. Step 2: Convert to fraction form
    6,100.85/9,099.71 = 5,916.27/x
  3. Step 3: Cross multiply
    6,100.85x = 9,099.71 × 5,916.27
  4. Step 4: Simplify right side
    6,100.85x = 53,836,311.70
  5. Step 5: Solve for x
    x = 53,836,311.70/6,100.85
  6. Step 6: Final answer
    x = 8,824.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.