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Finding the Fourth Proportional to 9,858.46, 13,604.46 and 5,381.99

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Solution

The fourth proportional to 9,858.46, 13,604.46 and 5,381.99 is: 7,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.46 : 13,604.46 = 5,381.99 : x
  2. Step 2: Convert to fraction form
    9,858.46/13,604.46 = 5,381.99/x
  3. Step 3: Cross multiply
    9,858.46x = 13,604.46 × 5,381.99
  4. Step 4: Simplify right side
    9,858.46x = 73,219,067.68
  5. Step 5: Solve for x
    x = 73,219,067.68/9,858.46
  6. Step 6: Final answer
    x = 7,427.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.