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Finding the Fourth Proportional to 9,230.81, 13,824.14 and 5,323.37

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Solution

The fourth proportional to 9,230.81, 13,824.14 and 5,323.37 is: 7,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.81 : 13,824.14 = 5,323.37 : x
  2. Step 2: Convert to fraction form
    9,230.81/13,824.14 = 5,323.37/x
  3. Step 3: Cross multiply
    9,230.81x = 13,824.14 × 5,323.37
  4. Step 4: Simplify right side
    9,230.81x = 73,590,916.41
  5. Step 5: Solve for x
    x = 73,590,916.41/9,230.81
  6. Step 6: Final answer
    x = 7,972.32

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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.