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Finding the Fourth Proportional to 9,893.84, 14,819.18 and 4,954.86

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Solution

The fourth proportional to 9,893.84, 14,819.18 and 4,954.86 is: 7,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.84 : 14,819.18 = 4,954.86 : x
  2. Step 2: Convert to fraction form
    9,893.84/14,819.18 = 4,954.86/x
  3. Step 3: Cross multiply
    9,893.84x = 14,819.18 × 4,954.86
  4. Step 4: Simplify right side
    9,893.84x = 73,426,937.44
  5. Step 5: Solve for x
    x = 73,426,937.44/9,893.84
  6. Step 6: Final answer
    x = 7,421.48

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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.