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Finding the Fourth Proportional to 6,314.22, 9,472.68 and 1,932

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Solution

The fourth proportional to 6,314.22, 9,472.68 and 1,932 is: 2,898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.22 : 9,472.68 = 1,932 : x
  2. Step 2: Convert to fraction form
    6,314.22/9,472.68 = 1,932/x
  3. Step 3: Cross multiply
    6,314.22x = 9,472.68 × 1,932
  4. Step 4: Simplify right side
    6,314.22x = 18,301,217.76
  5. Step 5: Solve for x
    x = 18,301,217.76/6,314.22
  6. Step 6: Final answer
    x = 2,898.41

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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.