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Finding the Fourth Proportional to 6,197.21, 9,297.64 and 2,497.53

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Solution

The fourth proportional to 6,197.21, 9,297.64 and 2,497.53 is: 3,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.21 : 9,297.64 = 2,497.53 : x
  2. Step 2: Convert to fraction form
    6,197.21/9,297.64 = 2,497.53/x
  3. Step 3: Cross multiply
    6,197.21x = 9,297.64 × 2,497.53
  4. Step 4: Simplify right side
    6,197.21x = 23,221,158.77
  5. Step 5: Solve for x
    x = 23,221,158.77/6,197.21
  6. Step 6: Final answer
    x = 3,747.04

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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.