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Finding the Fourth Proportional to 9,666.36, 13,328.01 and 8,075.32

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Solution

The fourth proportional to 9,666.36, 13,328.01 and 8,075.32 is: 11,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.36 : 13,328.01 = 8,075.32 : x
  2. Step 2: Convert to fraction form
    9,666.36/13,328.01 = 8,075.32/x
  3. Step 3: Cross multiply
    9,666.36x = 13,328.01 × 8,075.32
  4. Step 4: Simplify right side
    9,666.36x = 107,627,912.39
  5. Step 5: Solve for x
    x = 107,627,912.39/9,666.36
  6. Step 6: Final answer
    x = 11,134.28

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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.