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Finding the Fourth Proportional to 6,420.88, 9,633.71 and 3,927.18

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Solution

The fourth proportional to 6,420.88, 9,633.71 and 3,927.18 is: 5,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.88 : 9,633.71 = 3,927.18 : x
  2. Step 2: Convert to fraction form
    6,420.88/9,633.71 = 3,927.18/x
  3. Step 3: Cross multiply
    6,420.88x = 9,633.71 × 3,927.18
  4. Step 4: Simplify right side
    6,420.88x = 37,833,313.24
  5. Step 5: Solve for x
    x = 37,833,313.24/6,420.88
  6. Step 6: Final answer
    x = 5,892.23

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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.