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Finding the Fourth Proportional to 7,027.41, 9,694.51 and 4,193.16

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Solution

The fourth proportional to 7,027.41, 9,694.51 and 4,193.16 is: 5,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.41 : 9,694.51 = 4,193.16 : x
  2. Step 2: Convert to fraction form
    7,027.41/9,694.51 = 4,193.16/x
  3. Step 3: Cross multiply
    7,027.41x = 9,694.51 × 4,193.16
  4. Step 4: Simplify right side
    7,027.41x = 40,650,631.55
  5. Step 5: Solve for x
    x = 40,650,631.55/7,027.41
  6. Step 6: Final answer
    x = 5,784.58

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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.