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Finding the Fourth Proportional to 6,431.71, 9,642.02 and 2,485.73

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Solution

The fourth proportional to 6,431.71, 9,642.02 and 2,485.73 is: 3,726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.71 : 9,642.02 = 2,485.73 : x
  2. Step 2: Convert to fraction form
    6,431.71/9,642.02 = 2,485.73/x
  3. Step 3: Cross multiply
    6,431.71x = 9,642.02 × 2,485.73
  4. Step 4: Simplify right side
    6,431.71x = 23,967,495.63
  5. Step 5: Solve for x
    x = 23,967,495.63/6,431.71
  6. Step 6: Final answer
    x = 3,726.46

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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.