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Finding the Fourth Proportional to 6,637.44, 9,157.12 and 3,842.56

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Solution

The fourth proportional to 6,637.44, 9,157.12 and 3,842.56 is: 5,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.44 : 9,157.12 = 3,842.56 : x
  2. Step 2: Convert to fraction form
    6,637.44/9,157.12 = 3,842.56/x
  3. Step 3: Cross multiply
    6,637.44x = 9,157.12 × 3,842.56
  4. Step 4: Simplify right side
    6,637.44x = 35,186,783.03
  5. Step 5: Solve for x
    x = 35,186,783.03/6,637.44
  6. Step 6: Final answer
    x = 5,301.26

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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.