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Finding the Fourth Proportional to 6,538.65, 9,023.58 and 3,886.32

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Solution

The fourth proportional to 6,538.65, 9,023.58 and 3,886.32 is: 5,363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.65 : 9,023.58 = 3,886.32 : x
  2. Step 2: Convert to fraction form
    6,538.65/9,023.58 = 3,886.32/x
  3. Step 3: Cross multiply
    6,538.65x = 9,023.58 × 3,886.32
  4. Step 4: Simplify right side
    6,538.65x = 35,068,519.43
  5. Step 5: Solve for x
    x = 35,068,519.43/6,538.65
  6. Step 6: Final answer
    x = 5,363.27

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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.