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Finding the Fourth Proportional to 6,314.99, 9,472.50 and 1,932.42

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Solution

The fourth proportional to 6,314.99, 9,472.50 and 1,932.42 is: 2,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.99 : 9,472.50 = 1,932.42 : x
  2. Step 2: Convert to fraction form
    6,314.99/9,472.50 = 1,932.42/x
  3. Step 3: Cross multiply
    6,314.99x = 9,472.50 × 1,932.42
  4. Step 4: Simplify right side
    6,314.99x = 18,304,883.97
  5. Step 5: Solve for x
    x = 18,304,883.97/6,314.99
  6. Step 6: Final answer
    x = 2,898.64

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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.