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Finding the Fourth Proportional to 9,362.14, 14,043.12 and 3,814.18

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Solution

The fourth proportional to 9,362.14, 14,043.12 and 3,814.18 is: 5,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.14 : 14,043.12 = 3,814.18 : x
  2. Step 2: Convert to fraction form
    9,362.14/14,043.12 = 3,814.18/x
  3. Step 3: Cross multiply
    9,362.14x = 14,043.12 × 3,814.18
  4. Step 4: Simplify right side
    9,362.14x = 53,562,987.44
  5. Step 5: Solve for x
    x = 53,562,987.44/9,362.14
  6. Step 6: Final answer
    x = 5,721.23

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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.