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Finding the Fourth Proportional to 7,027.77, 9,698.36 and 3,883.98

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Solution

The fourth proportional to 7,027.77, 9,698.36 and 3,883.98 is: 5,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.77 : 9,698.36 = 3,883.98 : x
  2. Step 2: Convert to fraction form
    7,027.77/9,698.36 = 3,883.98/x
  3. Step 3: Cross multiply
    7,027.77x = 9,698.36 × 3,883.98
  4. Step 4: Simplify right side
    7,027.77x = 37,668,216.85
  5. Step 5: Solve for x
    x = 37,668,216.85/7,027.77
  6. Step 6: Final answer
    x = 5,359.91

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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.