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Finding the Fourth Proportional to 9,323.25, 12,866.27 and 5,131.50

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Solution

The fourth proportional to 9,323.25, 12,866.27 and 5,131.50 is: 7,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.25 : 12,866.27 = 5,131.50 : x
  2. Step 2: Convert to fraction form
    9,323.25/12,866.27 = 5,131.50/x
  3. Step 3: Cross multiply
    9,323.25x = 12,866.27 × 5,131.50
  4. Step 4: Simplify right side
    9,323.25x = 66,023,238.85
  5. Step 5: Solve for x
    x = 66,023,238.85/9,323.25
  6. Step 6: Final answer
    x = 7,081.57

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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.