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Finding the Fourth Proportional to 8,894.73, 12,274.82 and 4,861.67

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Solution

The fourth proportional to 8,894.73, 12,274.82 and 4,861.67 is: 6,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.73 : 12,274.82 = 4,861.67 : x
  2. Step 2: Convert to fraction form
    8,894.73/12,274.82 = 4,861.67/x
  3. Step 3: Cross multiply
    8,894.73x = 12,274.82 × 4,861.67
  4. Step 4: Simplify right side
    8,894.73x = 59,676,125.74
  5. Step 5: Solve for x
    x = 59,676,125.74/8,894.73
  6. Step 6: Final answer
    x = 6,709.16

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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.