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Finding the Fourth Proportional to 8,922.84, 12,313.61 and 4,944.04

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Solution

The fourth proportional to 8,922.84, 12,313.61 and 4,944.04 is: 6,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.84 : 12,313.61 = 4,944.04 : x
  2. Step 2: Convert to fraction form
    8,922.84/12,313.61 = 4,944.04/x
  3. Step 3: Cross multiply
    8,922.84x = 12,313.61 × 4,944.04
  4. Step 4: Simplify right side
    8,922.84x = 60,878,980.38
  5. Step 5: Solve for x
    x = 60,878,980.38/8,922.84
  6. Step 6: Final answer
    x = 6,822.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.