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Finding the Fourth Proportional to 9,334.87, 12,894.38 and 6,972.91

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Solution

The fourth proportional to 9,334.87, 12,894.38 and 6,972.91 is: 9,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.87 : 12,894.38 = 6,972.91 : x
  2. Step 2: Convert to fraction form
    9,334.87/12,894.38 = 6,972.91/x
  3. Step 3: Cross multiply
    9,334.87x = 12,894.38 × 6,972.91
  4. Step 4: Simplify right side
    9,334.87x = 89,911,351.25
  5. Step 5: Solve for x
    x = 89,911,351.25/9,334.87
  6. Step 6: Final answer
    x = 9,631.77

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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.