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Finding the Fourth Proportional to 7,027.76, 9,698.36 and 3,841.02

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Solution

The fourth proportional to 7,027.76, 9,698.36 and 3,841.02 is: 5,300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.76 : 9,698.36 = 3,841.02 : x
  2. Step 2: Convert to fraction form
    7,027.76/9,698.36 = 3,841.02/x
  3. Step 3: Cross multiply
    7,027.76x = 9,698.36 × 3,841.02
  4. Step 4: Simplify right side
    7,027.76x = 37,251,575.52
  5. Step 5: Solve for x
    x = 37,251,575.52/7,027.76
  6. Step 6: Final answer
    x = 5,300.63

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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.