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Finding the Fourth Proportional to 6,662.06, 9,193.59 and 3,637.17

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Solution

The fourth proportional to 6,662.06, 9,193.59 and 3,637.17 is: 5,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.06 : 9,193.59 = 3,637.17 : x
  2. Step 2: Convert to fraction form
    6,662.06/9,193.59 = 3,637.17/x
  3. Step 3: Cross multiply
    6,662.06x = 9,193.59 × 3,637.17
  4. Step 4: Simplify right side
    6,662.06x = 33,438,649.74
  5. Step 5: Solve for x
    x = 33,438,649.74/6,662.06
  6. Step 6: Final answer
    x = 5,019.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.