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Finding the Fourth Proportional to 27,815.46, 41,714.52 and 9,343.14

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Solution

The fourth proportional to 27,815.46, 41,714.52 and 9,343.14 is: 14,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,815.46 : 41,714.52 = 9,343.14 : x
  2. Step 2: Convert to fraction form
    27,815.46/41,714.52 = 9,343.14/x
  3. Step 3: Cross multiply
    27,815.46x = 41,714.52 × 9,343.14
  4. Step 4: Simplify right side
    27,815.46x = 389,744,600.39
  5. Step 5: Solve for x
    x = 389,744,600.39/27,815.46
  6. Step 6: Final answer
    x = 14,011.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.