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Finding the Fourth Proportional to 9,431.33, 13,013.06 and 6,075.27

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Solution

The fourth proportional to 9,431.33, 13,013.06 and 6,075.27 is: 8,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.33 : 13,013.06 = 6,075.27 : x
  2. Step 2: Convert to fraction form
    9,431.33/13,013.06 = 6,075.27/x
  3. Step 3: Cross multiply
    9,431.33x = 13,013.06 × 6,075.27
  4. Step 4: Simplify right side
    9,431.33x = 79,057,822.65
  5. Step 5: Solve for x
    x = 79,057,822.65/9,431.33
  6. Step 6: Final answer
    x = 8,382.47

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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.