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Finding the Fourth Proportional to 6,431.30, 9,652.87 and 3,313.46

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Solution

The fourth proportional to 6,431.30, 9,652.87 and 3,313.46 is: 4,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.30 : 9,652.87 = 3,313.46 : x
  2. Step 2: Convert to fraction form
    6,431.30/9,652.87 = 3,313.46/x
  3. Step 3: Cross multiply
    6,431.30x = 9,652.87 × 3,313.46
  4. Step 4: Simplify right side
    6,431.30x = 31,984,372.61
  5. Step 5: Solve for x
    x = 31,984,372.61/6,431.30
  6. Step 6: Final answer
    x = 4,973.24

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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.