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Finding the Fourth Proportional to 6,932.48, 9,573.54 and 5,931.86

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Solution

The fourth proportional to 6,932.48, 9,573.54 and 5,931.86 is: 8,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.48 : 9,573.54 = 5,931.86 : x
  2. Step 2: Convert to fraction form
    6,932.48/9,573.54 = 5,931.86/x
  3. Step 3: Cross multiply
    6,932.48x = 9,573.54 × 5,931.86
  4. Step 4: Simplify right side
    6,932.48x = 56,788,898.98
  5. Step 5: Solve for x
    x = 56,788,898.98/6,932.48
  6. Step 6: Final answer
    x = 8,191.71

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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.