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Finding the Fourth Proportional to 9,131.76, 13,689.41 and 3,284.25

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Solution

The fourth proportional to 9,131.76, 13,689.41 and 3,284.25 is: 4,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.76 : 13,689.41 = 3,284.25 : x
  2. Step 2: Convert to fraction form
    9,131.76/13,689.41 = 3,284.25/x
  3. Step 3: Cross multiply
    9,131.76x = 13,689.41 × 3,284.25
  4. Step 4: Simplify right side
    9,131.76x = 44,959,428.37
  5. Step 5: Solve for x
    x = 44,959,428.37/9,131.76
  6. Step 6: Final answer
    x = 4,923.41

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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.