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Finding the Fourth Proportional to 9,858.36, 13,604.49 and 5,382.03

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Solution

The fourth proportional to 9,858.36, 13,604.49 and 5,382.03 is: 7,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.36 : 13,604.49 = 5,382.03 : x
  2. Step 2: Convert to fraction form
    9,858.36/13,604.49 = 5,382.03/x
  3. Step 3: Cross multiply
    9,858.36x = 13,604.49 × 5,382.03
  4. Step 4: Simplify right side
    9,858.36x = 73,219,773.31
  5. Step 5: Solve for x
    x = 73,219,773.31/9,858.36
  6. Step 6: Final answer
    x = 7,427.18

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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.