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Finding the Fourth Proportional to 9,858.72, 13,604.42 and 5,381.56

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Solution

The fourth proportional to 9,858.72, 13,604.42 and 5,381.56 is: 7,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.72 : 13,604.42 = 5,381.56 : x
  2. Step 2: Convert to fraction form
    9,858.72/13,604.42 = 5,381.56/x
  3. Step 3: Cross multiply
    9,858.72x = 13,604.42 × 5,381.56
  4. Step 4: Simplify right side
    9,858.72x = 73,212,981.94
  5. Step 5: Solve for x
    x = 73,212,981.94/9,858.72
  6. Step 6: Final answer
    x = 7,426.22

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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.