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Finding the Fourth Proportional to 8,896.84, 13,346.89 and 2,973.17

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Solution

The fourth proportional to 8,896.84, 13,346.89 and 2,973.17 is: 4,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.84 : 13,346.89 = 2,973.17 : x
  2. Step 2: Convert to fraction form
    8,896.84/13,346.89 = 2,973.17/x
  3. Step 3: Cross multiply
    8,896.84x = 13,346.89 × 2,973.17
  4. Step 4: Simplify right side
    8,896.84x = 39,682,491.34
  5. Step 5: Solve for x
    x = 39,682,491.34/8,896.84
  6. Step 6: Final answer
    x = 4,460.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.