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Finding the Fourth Proportional to 6,572.20, 9,071.10 and 4,181.71

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Solution

The fourth proportional to 6,572.20, 9,071.10 and 4,181.71 is: 5,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.20 : 9,071.10 = 4,181.71 : x
  2. Step 2: Convert to fraction form
    6,572.20/9,071.10 = 4,181.71/x
  3. Step 3: Cross multiply
    6,572.20x = 9,071.10 × 4,181.71
  4. Step 4: Simplify right side
    6,572.20x = 37,932,709.58
  5. Step 5: Solve for x
    x = 37,932,709.58/6,572.20
  6. Step 6: Final answer
    x = 5,771.69

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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.