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Finding the Fourth Proportional to 9,834.07, 13,571.03 and 5,855.32

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Solution

The fourth proportional to 9,834.07, 13,571.03 and 5,855.32 is: 8,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.07 : 13,571.03 = 5,855.32 : x
  2. Step 2: Convert to fraction form
    9,834.07/13,571.03 = 5,855.32/x
  3. Step 3: Cross multiply
    9,834.07x = 13,571.03 × 5,855.32
  4. Step 4: Simplify right side
    9,834.07x = 79,462,723.38
  5. Step 5: Solve for x
    x = 79,462,723.38/9,834.07
  6. Step 6: Final answer
    x = 8,080.35

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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.