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Finding the Fourth Proportional to 7,184.70, 9,916.06 and 4,199.95

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Solution

The fourth proportional to 7,184.70, 9,916.06 and 4,199.95 is: 5,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.70 : 9,916.06 = 4,199.95 : x
  2. Step 2: Convert to fraction form
    7,184.70/9,916.06 = 4,199.95/x
  3. Step 3: Cross multiply
    7,184.70x = 9,916.06 × 4,199.95
  4. Step 4: Simplify right side
    7,184.70x = 41,646,906.62
  5. Step 5: Solve for x
    x = 41,646,906.62/7,184.70
  6. Step 6: Final answer
    x = 5,796.61

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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.