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Finding the Fourth Proportional to 9,662.08, 14,494.56 and 2,736.40

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Solution

The fourth proportional to 9,662.08, 14,494.56 and 2,736.40 is: 4,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.08 : 14,494.56 = 2,736.40 : x
  2. Step 2: Convert to fraction form
    9,662.08/14,494.56 = 2,736.40/x
  3. Step 3: Cross multiply
    9,662.08x = 14,494.56 × 2,736.40
  4. Step 4: Simplify right side
    9,662.08x = 39,662,913.98
  5. Step 5: Solve for x
    x = 39,662,913.98/9,662.08
  6. Step 6: Final answer
    x = 4,105.01

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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.