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Finding the Fourth Proportional to 9,828.16, 13,562.91 and 5,849.41

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Solution

The fourth proportional to 9,828.16, 13,562.91 and 5,849.41 is: 8,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.16 : 13,562.91 = 5,849.41 : x
  2. Step 2: Convert to fraction form
    9,828.16/13,562.91 = 5,849.41/x
  3. Step 3: Cross multiply
    9,828.16x = 13,562.91 × 5,849.41
  4. Step 4: Simplify right side
    9,828.16x = 79,335,021.38
  5. Step 5: Solve for x
    x = 79,335,021.38/9,828.16
  6. Step 6: Final answer
    x = 8,072.22

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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.