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Finding the Fourth Proportional to 9,834, 13,570.92 and 5,418

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Solution

The fourth proportional to 9,834, 13,570.92 and 5,418 is: 7,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834 : 13,570.92 = 5,418 : x
  2. Step 2: Convert to fraction form
    9,834/13,570.92 = 5,418/x
  3. Step 3: Cross multiply
    9,834x = 13,570.92 × 5,418
  4. Step 4: Simplify right side
    9,834x = 73,527,244.56
  5. Step 5: Solve for x
    x = 73,527,244.56/9,834
  6. Step 6: Final answer
    x = 7,476.84

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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.