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Finding the Fourth Proportional to 6,365.98, 9,538.98 and 2,468.26

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Solution

The fourth proportional to 6,365.98, 9,538.98 and 2,468.26 is: 3,698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.98 : 9,538.98 = 2,468.26 : x
  2. Step 2: Convert to fraction form
    6,365.98/9,538.98 = 2,468.26/x
  3. Step 3: Cross multiply
    6,365.98x = 9,538.98 × 2,468.26
  4. Step 4: Simplify right side
    6,365.98x = 23,544,682.77
  5. Step 5: Solve for x
    x = 23,544,682.77/6,365.98
  6. Step 6: Final answer
    x = 3,698.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.