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Finding the Fourth Proportional to 8,945.34, 12,344.34 and 4,966.32

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Solution

The fourth proportional to 8,945.34, 12,344.34 and 4,966.32 is: 6,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945.34 : 12,344.34 = 4,966.32 : x
  2. Step 2: Convert to fraction form
    8,945.34/12,344.34 = 4,966.32/x
  3. Step 3: Cross multiply
    8,945.34x = 12,344.34 × 4,966.32
  4. Step 4: Simplify right side
    8,945.34x = 61,305,942.63
  5. Step 5: Solve for x
    x = 61,305,942.63/8,945.34
  6. Step 6: Final answer
    x = 6,853.39

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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.