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Finding the Fourth Proportional to 7,190.63, 9,923 and 4,046.82

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Solution

The fourth proportional to 7,190.63, 9,923 and 4,046.82 is: 5,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.63 : 9,923 = 4,046.82 : x
  2. Step 2: Convert to fraction form
    7,190.63/9,923 = 4,046.82/x
  3. Step 3: Cross multiply
    7,190.63x = 9,923 × 4,046.82
  4. Step 4: Simplify right side
    7,190.63x = 40,156,594.86
  5. Step 5: Solve for x
    x = 40,156,594.86/7,190.63
  6. Step 6: Final answer
    x = 5,584.57

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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.