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Finding the Fourth Proportional to 9,197.31, 13,764.36 and 5,685.96

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Solution

The fourth proportional to 9,197.31, 13,764.36 and 5,685.96 is: 8,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.31 : 13,764.36 = 5,685.96 : x
  2. Step 2: Convert to fraction form
    9,197.31/13,764.36 = 5,685.96/x
  3. Step 3: Cross multiply
    9,197.31x = 13,764.36 × 5,685.96
  4. Step 4: Simplify right side
    9,197.31x = 78,263,600.39
  5. Step 5: Solve for x
    x = 78,263,600.39/9,197.31
  6. Step 6: Final answer
    x = 8,509.40

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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.