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Finding the Fourth Proportional to 9,894.41, 14,843.09 and 2,874.49

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Solution

The fourth proportional to 9,894.41, 14,843.09 and 2,874.49 is: 4,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.41 : 14,843.09 = 2,874.49 : x
  2. Step 2: Convert to fraction form
    9,894.41/14,843.09 = 2,874.49/x
  3. Step 3: Cross multiply
    9,894.41x = 14,843.09 × 2,874.49
  4. Step 4: Simplify right side
    9,894.41x = 42,666,313.77
  5. Step 5: Solve for x
    x = 42,666,313.77/9,894.41
  6. Step 6: Final answer
    x = 4,312.16

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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.