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Finding the Fourth Proportional to 9,184.56, 13,777.74 and 3,637.68

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Solution

The fourth proportional to 9,184.56, 13,777.74 and 3,637.68 is: 5,456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.56 : 13,777.74 = 3,637.68 : x
  2. Step 2: Convert to fraction form
    9,184.56/13,777.74 = 3,637.68/x
  3. Step 3: Cross multiply
    9,184.56x = 13,777.74 × 3,637.68
  4. Step 4: Simplify right side
    9,184.56x = 50,119,009.24
  5. Step 5: Solve for x
    x = 50,119,009.24/9,184.56
  6. Step 6: Final answer
    x = 5,456.88

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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.