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Finding the Fourth Proportional to 6,425.53, 9,633.97 and 3,301.63

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Solution

The fourth proportional to 6,425.53, 9,633.97 and 3,301.63 is: 4,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.53 : 9,633.97 = 3,301.63 : x
  2. Step 2: Convert to fraction form
    6,425.53/9,633.97 = 3,301.63/x
  3. Step 3: Cross multiply
    6,425.53x = 9,633.97 × 3,301.63
  4. Step 4: Simplify right side
    6,425.53x = 31,807,804.37
  5. Step 5: Solve for x
    x = 31,807,804.37/6,425.53
  6. Step 6: Final answer
    x = 4,950.22

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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.