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Finding the Fourth Proportional to 9,812, 13,540.56 and 5,396

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Solution

The fourth proportional to 9,812, 13,540.56 and 5,396 is: 7,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812 : 13,540.56 = 5,396 : x
  2. Step 2: Convert to fraction form
    9,812/13,540.56 = 5,396/x
  3. Step 3: Cross multiply
    9,812x = 13,540.56 × 5,396
  4. Step 4: Simplify right side
    9,812x = 73,064,861.76
  5. Step 5: Solve for x
    x = 73,064,861.76/9,812
  6. Step 6: Final answer
    x = 7,446.48

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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.