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Finding the Fourth Proportional to 9,858.30, 13,604.63 and 5,382.09

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Solution

The fourth proportional to 9,858.30, 13,604.63 and 5,382.09 is: 7,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.30 : 13,604.63 = 5,382.09 : x
  2. Step 2: Convert to fraction form
    9,858.30/13,604.63 = 5,382.09/x
  3. Step 3: Cross multiply
    9,858.30x = 13,604.63 × 5,382.09
  4. Step 4: Simplify right side
    9,858.30x = 73,221,316.17
  5. Step 5: Solve for x
    x = 73,221,316.17/9,858.30
  6. Step 6: Final answer
    x = 7,427.38

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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.