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Finding the Fourth Proportional to 8,922.94, 12,319.44 and 5,737.67

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Solution

The fourth proportional to 8,922.94, 12,319.44 and 5,737.67 is: 7,921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.94 : 12,319.44 = 5,737.67 : x
  2. Step 2: Convert to fraction form
    8,922.94/12,319.44 = 5,737.67/x
  3. Step 3: Cross multiply
    8,922.94x = 12,319.44 × 5,737.67
  4. Step 4: Simplify right side
    8,922.94x = 70,684,791.02
  5. Step 5: Solve for x
    x = 70,684,791.02/8,922.94
  6. Step 6: Final answer
    x = 7,921.69

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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.