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Finding the Fourth Proportional to 9,858.44, 13,604.59 and 5,382.18

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Solution

The fourth proportional to 9,858.44, 13,604.59 and 5,382.18 is: 7,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.44 : 13,604.59 = 5,382.18 : x
  2. Step 2: Convert to fraction form
    9,858.44/13,604.59 = 5,382.18/x
  3. Step 3: Cross multiply
    9,858.44x = 13,604.59 × 5,382.18
  4. Step 4: Simplify right side
    9,858.44x = 73,222,358.93
  5. Step 5: Solve for x
    x = 73,222,358.93/9,858.44
  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.