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Finding the Fourth Proportional to 9,965.16, 14,958.54 and 8,424.24

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Solution

The fourth proportional to 9,965.16, 14,958.54 and 8,424.24 is: 12,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.16 : 14,958.54 = 8,424.24 : x
  2. Step 2: Convert to fraction form
    9,965.16/14,958.54 = 8,424.24/x
  3. Step 3: Cross multiply
    9,965.16x = 14,958.54 × 8,424.24
  4. Step 4: Simplify right side
    9,965.16x = 126,014,331.01
  5. Step 5: Solve for x
    x = 126,014,331.01/9,965.16
  6. Step 6: Final answer
    x = 12,645.49

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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.