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Finding the Fourth Proportional to 6,424.02, 9,637.90 and 2,208.32

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Solution

The fourth proportional to 6,424.02, 9,637.90 and 2,208.32 is: 3,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.02 : 9,637.90 = 2,208.32 : x
  2. Step 2: Convert to fraction form
    6,424.02/9,637.90 = 2,208.32/x
  3. Step 3: Cross multiply
    6,424.02x = 9,637.90 × 2,208.32
  4. Step 4: Simplify right side
    6,424.02x = 21,283,567.33
  5. Step 5: Solve for x
    x = 21,283,567.33/6,424.02
  6. Step 6: Final answer
    x = 3,313.12

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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.