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Finding the Fourth Proportional to 7,027.16, 9,698.50 and 4,194.66

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Solution

The fourth proportional to 7,027.16, 9,698.50 and 4,194.66 is: 5,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.16 : 9,698.50 = 4,194.66 : x
  2. Step 2: Convert to fraction form
    7,027.16/9,698.50 = 4,194.66/x
  3. Step 3: Cross multiply
    7,027.16x = 9,698.50 × 4,194.66
  4. Step 4: Simplify right side
    7,027.16x = 40,681,886.75
  5. Step 5: Solve for x
    x = 40,681,886.75/7,027.16
  6. Step 6: Final answer
    x = 5,789.23

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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.