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Finding the Fourth Proportional to 8,942.96, 13,405.22 and 5,829.06

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Solution

The fourth proportional to 8,942.96, 13,405.22 and 5,829.06 is: 8,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.96 : 13,405.22 = 5,829.06 : x
  2. Step 2: Convert to fraction form
    8,942.96/13,405.22 = 5,829.06/x
  3. Step 3: Cross multiply
    8,942.96x = 13,405.22 × 5,829.06
  4. Step 4: Simplify right side
    8,942.96x = 78,139,831.69
  5. Step 5: Solve for x
    x = 78,139,831.69/8,942.96
  6. Step 6: Final answer
    x = 8,737.58

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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.