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Finding the Fourth Proportional to 9,829.56, 13,568.73 and 5,849.91

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Solution

The fourth proportional to 9,829.56, 13,568.73 and 5,849.91 is: 8,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.56 : 13,568.73 = 5,849.91 : x
  2. Step 2: Convert to fraction form
    9,829.56/13,568.73 = 5,849.91/x
  3. Step 3: Cross multiply
    9,829.56x = 13,568.73 × 5,849.91
  4. Step 4: Simplify right side
    9,829.56x = 79,375,827.38
  5. Step 5: Solve for x
    x = 79,375,827.38/9,829.56
  6. Step 6: Final answer
    x = 8,075.21

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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.