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Finding the Fourth Proportional to 6,431.95, 9,640.22 and 3,313.45

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Solution

The fourth proportional to 6,431.95, 9,640.22 and 3,313.45 is: 4,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.95 : 9,640.22 = 3,313.45 : x
  2. Step 2: Convert to fraction form
    6,431.95/9,640.22 = 3,313.45/x
  3. Step 3: Cross multiply
    6,431.95x = 9,640.22 × 3,313.45
  4. Step 4: Simplify right side
    6,431.95x = 31,942,338.76
  5. Step 5: Solve for x
    x = 31,942,338.76/6,431.95
  6. Step 6: Final answer
    x = 4,966.20

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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.