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Finding the Fourth Proportional to 9,412.91, 14,113.89 and 5,027.97

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Solution

The fourth proportional to 9,412.91, 14,113.89 and 5,027.97 is: 7,539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.91 : 14,113.89 = 5,027.97 : x
  2. Step 2: Convert to fraction form
    9,412.91/14,113.89 = 5,027.97/x
  3. Step 3: Cross multiply
    9,412.91x = 14,113.89 × 5,027.97
  4. Step 4: Simplify right side
    9,412.91x = 70,964,215.50
  5. Step 5: Solve for x
    x = 70,964,215.50/9,412.91
  6. Step 6: Final answer
    x = 7,539.03

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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.