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Finding the Fourth Proportional to 9,005.97, 13,508.82 and 4,072.17

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Solution

The fourth proportional to 9,005.97, 13,508.82 and 4,072.17 is: 6,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.97 : 13,508.82 = 4,072.17 : x
  2. Step 2: Convert to fraction form
    9,005.97/13,508.82 = 4,072.17/x
  3. Step 3: Cross multiply
    9,005.97x = 13,508.82 × 4,072.17
  4. Step 4: Simplify right side
    9,005.97x = 55,010,211.54
  5. Step 5: Solve for x
    x = 55,010,211.54/9,005.97
  6. Step 6: Final answer
    x = 6,108.19

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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.