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Finding the Fourth Proportional to 6,894.42, 9,513.72 and 4,376.94

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Solution

The fourth proportional to 6,894.42, 9,513.72 and 4,376.94 is: 6,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.42 : 9,513.72 = 4,376.94 : x
  2. Step 2: Convert to fraction form
    6,894.42/9,513.72 = 4,376.94/x
  3. Step 3: Cross multiply
    6,894.42x = 9,513.72 × 4,376.94
  4. Step 4: Simplify right side
    6,894.42x = 41,640,981.62
  5. Step 5: Solve for x
    x = 41,640,981.62/6,894.42
  6. Step 6: Final answer
    x = 6,039.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.