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Finding the Fourth Proportional to 8,685.32, 11,973.30 and 6,197

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Solution

The fourth proportional to 8,685.32, 11,973.30 and 6,197 is: 8,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685.32 : 11,973.30 = 6,197 : x
  2. Step 2: Convert to fraction form
    8,685.32/11,973.30 = 6,197/x
  3. Step 3: Cross multiply
    8,685.32x = 11,973.30 × 6,197
  4. Step 4: Simplify right side
    8,685.32x = 74,198,540.10
  5. Step 5: Solve for x
    x = 74,198,540.10/8,685.32
  6. Step 6: Final answer
    x = 8,542.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.