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Finding the Fourth Proportional to 7,018.68, 9,685.74 and 3,832.08

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Solution

The fourth proportional to 7,018.68, 9,685.74 and 3,832.08 is: 5,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.68 : 9,685.74 = 3,832.08 : x
  2. Step 2: Convert to fraction form
    7,018.68/9,685.74 = 3,832.08/x
  3. Step 3: Cross multiply
    7,018.68x = 9,685.74 × 3,832.08
  4. Step 4: Simplify right side
    7,018.68x = 37,116,530.54
  5. Step 5: Solve for x
    x = 37,116,530.54/7,018.68
  6. Step 6: Final answer
    x = 5,288.25

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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.