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Finding the Fourth Proportional to 6,197.96, 9,297.03 and 6,188.84

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Solution

The fourth proportional to 6,197.96, 9,297.03 and 6,188.84 is: 9,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.96 : 9,297.03 = 6,188.84 : x
  2. Step 2: Convert to fraction form
    6,197.96/9,297.03 = 6,188.84/x
  3. Step 3: Cross multiply
    6,197.96x = 9,297.03 × 6,188.84
  4. Step 4: Simplify right side
    6,197.96x = 57,537,854.39
  5. Step 5: Solve for x
    x = 57,537,854.39/6,197.96
  6. Step 6: Final answer
    x = 9,283.36

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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.