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Finding the Fourth Proportional to 8,949.77, 13,416.43 and 3,102.28

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Solution

The fourth proportional to 8,949.77, 13,416.43 and 3,102.28 is: 4,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,949.77 : 13,416.43 = 3,102.28 : x
  2. Step 2: Convert to fraction form
    8,949.77/13,416.43 = 3,102.28/x
  3. Step 3: Cross multiply
    8,949.77x = 13,416.43 × 3,102.28
  4. Step 4: Simplify right side
    8,949.77x = 41,621,522.46
  5. Step 5: Solve for x
    x = 41,621,522.46/8,949.77
  6. Step 6: Final answer
    x = 4,650.57

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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.