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Finding the Fourth Proportional to 8,896.46, 13,340.17 and 2,971.22

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Solution

The fourth proportional to 8,896.46, 13,340.17 and 2,971.22 is: 4,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.46 : 13,340.17 = 2,971.22 : x
  2. Step 2: Convert to fraction form
    8,896.46/13,340.17 = 2,971.22/x
  3. Step 3: Cross multiply
    8,896.46x = 13,340.17 × 2,971.22
  4. Step 4: Simplify right side
    8,896.46x = 39,636,579.91
  5. Step 5: Solve for x
    x = 39,636,579.91/8,896.46
  6. Step 6: Final answer
    x = 4,455.32

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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.