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Finding the Fourth Proportional to 9,831.96, 13,568.24 and 5,582.88

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Solution

The fourth proportional to 9,831.96, 13,568.24 and 5,582.88 is: 7,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.96 : 13,568.24 = 5,582.88 : x
  2. Step 2: Convert to fraction form
    9,831.96/13,568.24 = 5,582.88/x
  3. Step 3: Cross multiply
    9,831.96x = 13,568.24 × 5,582.88
  4. Step 4: Simplify right side
    9,831.96x = 75,749,855.73
  5. Step 5: Solve for x
    x = 75,749,855.73/9,831.96
  6. Step 6: Final answer
    x = 7,704.45

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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.