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Finding the Fourth Proportional to 9,662.36, 14,464.36 and 8,738.35

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Solution

The fourth proportional to 9,662.36, 14,464.36 and 8,738.35 is: 13,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.36 : 14,464.36 = 8,738.35 : x
  2. Step 2: Convert to fraction form
    9,662.36/14,464.36 = 8,738.35/x
  3. Step 3: Cross multiply
    9,662.36x = 14,464.36 × 8,738.35
  4. Step 4: Simplify right side
    9,662.36x = 126,394,565.81
  5. Step 5: Solve for x
    x = 126,394,565.81/9,662.36
  6. Step 6: Final answer
    x = 13,081.13

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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.