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Finding the Fourth Proportional to 6,423.74, 9,630.93 and 4,338.57

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Solution

The fourth proportional to 6,423.74, 9,630.93 and 4,338.57 is: 6,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.74 : 9,630.93 = 4,338.57 : x
  2. Step 2: Convert to fraction form
    6,423.74/9,630.93 = 4,338.57/x
  3. Step 3: Cross multiply
    6,423.74x = 9,630.93 × 4,338.57
  4. Step 4: Simplify right side
    6,423.74x = 41,784,463.97
  5. Step 5: Solve for x
    x = 41,784,463.97/6,423.74
  6. Step 6: Final answer
    x = 6,504.70

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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.