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Finding the Fourth Proportional to 8,896.92, 13,347.29 and 2,974.32

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Solution

The fourth proportional to 8,896.92, 13,347.29 and 2,974.32 is: 4,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.92 : 13,347.29 = 2,974.32 : x
  2. Step 2: Convert to fraction form
    8,896.92/13,347.29 = 2,974.32/x
  3. Step 3: Cross multiply
    8,896.92x = 13,347.29 × 2,974.32
  4. Step 4: Simplify right side
    8,896.92x = 39,699,096.72
  5. Step 5: Solve for x
    x = 39,699,096.72/8,896.92
  6. Step 6: Final answer
    x = 4,462.12

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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.