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Finding the Fourth Proportional to 9,222.52, 13,831.86 and 2,983.08

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Solution

The fourth proportional to 9,222.52, 13,831.86 and 2,983.08 is: 4,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.52 : 13,831.86 = 2,983.08 : x
  2. Step 2: Convert to fraction form
    9,222.52/13,831.86 = 2,983.08/x
  3. Step 3: Cross multiply
    9,222.52x = 13,831.86 × 2,983.08
  4. Step 4: Simplify right side
    9,222.52x = 41,261,544.93
  5. Step 5: Solve for x
    x = 41,261,544.93/9,222.52
  6. Step 6: Final answer
    x = 4,474.00

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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.