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Finding the Fourth Proportional to 9,704.30, 13,391.55 and 5,933.81

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Solution

The fourth proportional to 9,704.30, 13,391.55 and 5,933.81 is: 8,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.30 : 13,391.55 = 5,933.81 : x
  2. Step 2: Convert to fraction form
    9,704.30/13,391.55 = 5,933.81/x
  3. Step 3: Cross multiply
    9,704.30x = 13,391.55 × 5,933.81
  4. Step 4: Simplify right side
    9,704.30x = 79,462,913.31
  5. Step 5: Solve for x
    x = 79,462,913.31/9,704.30
  6. Step 6: Final answer
    x = 8,188.42

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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.