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Finding the Fourth Proportional to 9,849.38, 13,592.39 and 5,373.54

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Solution

The fourth proportional to 9,849.38, 13,592.39 and 5,373.54 is: 7,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.38 : 13,592.39 = 5,373.54 : x
  2. Step 2: Convert to fraction form
    9,849.38/13,592.39 = 5,373.54/x
  3. Step 3: Cross multiply
    9,849.38x = 13,592.39 × 5,373.54
  4. Step 4: Simplify right side
    9,849.38x = 73,039,224.49
  5. Step 5: Solve for x
    x = 73,039,224.49/9,849.38
  6. Step 6: Final answer
    x = 7,415.62

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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.