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Finding the Fourth Proportional to 9,831.99, 13,568.22 and 5,355.71

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Solution

The fourth proportional to 9,831.99, 13,568.22 and 5,355.71 is: 7,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.99 : 13,568.22 = 5,355.71 : x
  2. Step 2: Convert to fraction form
    9,831.99/13,568.22 = 5,355.71/x
  3. Step 3: Cross multiply
    9,831.99x = 13,568.22 × 5,355.71
  4. Step 4: Simplify right side
    9,831.99x = 72,667,434.58
  5. Step 5: Solve for x
    x = 72,667,434.58/9,831.99
  6. Step 6: Final answer
    x = 7,390.92

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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.