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Finding the Fourth Proportional to 6,433.02, 9,642.92 and 3,653.82

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Solution

The fourth proportional to 6,433.02, 9,642.92 and 3,653.82 is: 5,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.02 : 9,642.92 = 3,653.82 : x
  2. Step 2: Convert to fraction form
    6,433.02/9,642.92 = 3,653.82/x
  3. Step 3: Cross multiply
    6,433.02x = 9,642.92 × 3,653.82
  4. Step 4: Simplify right side
    6,433.02x = 35,233,493.95
  5. Step 5: Solve for x
    x = 35,233,493.95/6,433.02
  6. Step 6: Final answer
    x = 5,476.98

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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.