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Finding the Fourth Proportional to 9,739.50, 14,609.52 and 2,814

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Solution

The fourth proportional to 9,739.50, 14,609.52 and 2,814 is: 4,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.50 : 14,609.52 = 2,814 : x
  2. Step 2: Convert to fraction form
    9,739.50/14,609.52 = 2,814/x
  3. Step 3: Cross multiply
    9,739.50x = 14,609.52 × 2,814
  4. Step 4: Simplify right side
    9,739.50x = 41,111,189.28
  5. Step 5: Solve for x
    x = 41,111,189.28/9,739.50
  6. Step 6: Final answer
    x = 4,221.08

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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.