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Finding the Fourth Proportional to 6,071.72, 9,111.22 and 2,176.42

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Solution

The fourth proportional to 6,071.72, 9,111.22 and 2,176.42 is: 3,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.72 : 9,111.22 = 2,176.42 : x
  2. Step 2: Convert to fraction form
    6,071.72/9,111.22 = 2,176.42/x
  3. Step 3: Cross multiply
    6,071.72x = 9,111.22 × 2,176.42
  4. Step 4: Simplify right side
    6,071.72x = 19,829,841.43
  5. Step 5: Solve for x
    x = 19,829,841.43/6,071.72
  6. Step 6: Final answer
    x = 3,265.93

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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.