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Finding the Fourth Proportional to 6,315.57, 9,472.73 and 1,933.07

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Solution

The fourth proportional to 6,315.57, 9,472.73 and 1,933.07 is: 2,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.57 : 9,472.73 = 1,933.07 : x
  2. Step 2: Convert to fraction form
    6,315.57/9,472.73 = 1,933.07/x
  3. Step 3: Cross multiply
    6,315.57x = 9,472.73 × 1,933.07
  4. Step 4: Simplify right side
    6,315.57x = 18,311,393.15
  5. Step 5: Solve for x
    x = 18,311,393.15/6,315.57
  6. Step 6: Final answer
    x = 2,899.40

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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.