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Finding the Fourth Proportional to 6,538.80, 9,022.32 and 3,886.86

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Solution

The fourth proportional to 6,538.80, 9,022.32 and 3,886.86 is: 5,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.80 : 9,022.32 = 3,886.86 : x
  2. Step 2: Convert to fraction form
    6,538.80/9,022.32 = 3,886.86/x
  3. Step 3: Cross multiply
    6,538.80x = 9,022.32 × 3,886.86
  4. Step 4: Simplify right side
    6,538.80x = 35,068,494.72
  5. Step 5: Solve for x
    x = 35,068,494.72/6,538.80
  6. Step 6: Final answer
    x = 5,363.14

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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.