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Finding the Fourth Proportional to 6,313.99, 9,471.51 and 2,152.31

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Solution

The fourth proportional to 6,313.99, 9,471.51 and 2,152.31 is: 3,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.99 : 9,471.51 = 2,152.31 : x
  2. Step 2: Convert to fraction form
    6,313.99/9,471.51 = 2,152.31/x
  3. Step 3: Cross multiply
    6,313.99x = 9,471.51 × 2,152.31
  4. Step 4: Simplify right side
    6,313.99x = 20,385,625.69
  5. Step 5: Solve for x
    x = 20,385,625.69/6,313.99
  6. Step 6: Final answer
    x = 3,228.64

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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.