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Finding the Fourth Proportional to 7,214.46, 9,954.15 and 4,027.77

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Solution

The fourth proportional to 7,214.46, 9,954.15 and 4,027.77 is: 5,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.46 : 9,954.15 = 4,027.77 : x
  2. Step 2: Convert to fraction form
    7,214.46/9,954.15 = 4,027.77/x
  3. Step 3: Cross multiply
    7,214.46x = 9,954.15 × 4,027.77
  4. Step 4: Simplify right side
    7,214.46x = 40,093,026.75
  5. Step 5: Solve for x
    x = 40,093,026.75/7,214.46
  6. Step 6: Final answer
    x = 5,557.31

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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.