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Finding the Fourth Proportional to 6,071.82, 9,109.95 and 2,562.72

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Solution

The fourth proportional to 6,071.82, 9,109.95 and 2,562.72 is: 3,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.82 : 9,109.95 = 2,562.72 : x
  2. Step 2: Convert to fraction form
    6,071.82/9,109.95 = 2,562.72/x
  3. Step 3: Cross multiply
    6,071.82x = 9,109.95 × 2,562.72
  4. Step 4: Simplify right side
    6,071.82x = 23,346,251.06
  5. Step 5: Solve for x
    x = 23,346,251.06/6,071.82
  6. Step 6: Final answer
    x = 3,845.02

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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.