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Finding the Fourth Proportional to 6,538.16, 9,022.68 and 3,885.68

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Solution

The fourth proportional to 6,538.16, 9,022.68 and 3,885.68 is: 5,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.16 : 9,022.68 = 3,885.68 : x
  2. Step 2: Convert to fraction form
    6,538.16/9,022.68 = 3,885.68/x
  3. Step 3: Cross multiply
    6,538.16x = 9,022.68 × 3,885.68
  4. Step 4: Simplify right side
    6,538.16x = 35,059,247.22
  5. Step 5: Solve for x
    x = 35,059,247.22/6,538.16
  6. Step 6: Final answer
    x = 5,362.25

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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.