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Finding the Fourth Proportional to 6,197.40, 9,298.37 and 2,867.24

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Solution

The fourth proportional to 6,197.40, 9,298.37 and 2,867.24 is: 4,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.40 : 9,298.37 = 2,867.24 : x
  2. Step 2: Convert to fraction form
    6,197.40/9,298.37 = 2,867.24/x
  3. Step 3: Cross multiply
    6,197.40x = 9,298.37 × 2,867.24
  4. Step 4: Simplify right side
    6,197.40x = 26,660,688.81
  5. Step 5: Solve for x
    x = 26,660,688.81/6,197.40
  6. Step 6: Final answer
    x = 4,301.92

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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.