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Finding the Fourth Proportional to 9,216.63, 13,825.00 and 2,291.13

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Solution

The fourth proportional to 9,216.63, 13,825.00 and 2,291.13 is: 3,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.63 : 13,825.00 = 2,291.13 : x
  2. Step 2: Convert to fraction form
    9,216.63/13,825.00 = 2,291.13/x
  3. Step 3: Cross multiply
    9,216.63x = 13,825.00 × 2,291.13
  4. Step 4: Simplify right side
    9,216.63x = 31,674,914.00
  5. Step 5: Solve for x
    x = 31,674,914.00/9,216.63
  6. Step 6: Final answer
    x = 3,436.71

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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.