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Finding the Fourth Proportional to 6,357.22, 9,538.45 and 2,797.51

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Solution

The fourth proportional to 6,357.22, 9,538.45 and 2,797.51 is: 4,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.22 : 9,538.45 = 2,797.51 : x
  2. Step 2: Convert to fraction form
    6,357.22/9,538.45 = 2,797.51/x
  3. Step 3: Cross multiply
    6,357.22x = 9,538.45 × 2,797.51
  4. Step 4: Simplify right side
    6,357.22x = 26,683,909.26
  5. Step 5: Solve for x
    x = 26,683,909.26/6,357.22
  6. Step 6: Final answer
    x = 4,197.42

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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.