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Finding the Fourth Proportional to 9,323.26, 12,863.20 and 5,289.42

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Solution

The fourth proportional to 9,323.26, 12,863.20 and 5,289.42 is: 7,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.26 : 12,863.20 = 5,289.42 : x
  2. Step 2: Convert to fraction form
    9,323.26/12,863.20 = 5,289.42/x
  3. Step 3: Cross multiply
    9,323.26x = 12,863.20 × 5,289.42
  4. Step 4: Simplify right side
    9,323.26x = 68,038,867.34
  5. Step 5: Solve for x
    x = 68,038,867.34/9,323.26
  6. Step 6: Final answer
    x = 7,297.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.