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Finding the Fourth Proportional to 9,362.96, 14,044.50 and 2,343.09

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Solution

The fourth proportional to 9,362.96, 14,044.50 and 2,343.09 is: 3,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.96 : 14,044.50 = 2,343.09 : x
  2. Step 2: Convert to fraction form
    9,362.96/14,044.50 = 2,343.09/x
  3. Step 3: Cross multiply
    9,362.96x = 14,044.50 × 2,343.09
  4. Step 4: Simplify right side
    9,362.96x = 32,907,527.51
  5. Step 5: Solve for x
    x = 32,907,527.51/9,362.96
  6. Step 6: Final answer
    x = 3,514.65

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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.