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Finding the Fourth Proportional to 6,932.10, 9,573.04 and 5,931.54

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Solution

The fourth proportional to 6,932.10, 9,573.04 and 5,931.54 is: 8,191.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.10 : 9,573.04 = 5,931.54 : x
  2. Step 2: Convert to fraction form
    6,932.10/9,573.04 = 5,931.54/x
  3. Step 3: Cross multiply
    6,932.10x = 9,573.04 × 5,931.54
  4. Step 4: Simplify right side
    6,932.10x = 56,782,869.68
  5. Step 5: Solve for x
    x = 56,782,869.68/6,932.10
  6. Step 6: Final answer
    x = 8,191.29

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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.