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Finding the Fourth Proportional to 9,905.70, 14,859.99 and 3,333.77

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Solution

The fourth proportional to 9,905.70, 14,859.99 and 3,333.77 is: 5,001.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.70 : 14,859.99 = 3,333.77 : x
  2. Step 2: Convert to fraction form
    9,905.70/14,859.99 = 3,333.77/x
  3. Step 3: Cross multiply
    9,905.70x = 14,859.99 × 3,333.77
  4. Step 4: Simplify right side
    9,905.70x = 49,539,714.56
  5. Step 5: Solve for x
    x = 49,539,714.56/9,905.70
  6. Step 6: Final answer
    x = 5,001.13

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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.