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Finding the Fourth Proportional to 9,704.65, 13,388.63 and 5,454.75

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Solution

The fourth proportional to 9,704.65, 13,388.63 and 5,454.75 is: 7,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.65 : 13,388.63 = 5,454.75 : x
  2. Step 2: Convert to fraction form
    9,704.65/13,388.63 = 5,454.75/x
  3. Step 3: Cross multiply
    9,704.65x = 13,388.63 × 5,454.75
  4. Step 4: Simplify right side
    9,704.65x = 73,031,629.49
  5. Step 5: Solve for x
    x = 73,031,629.49/9,704.65
  6. Step 6: Final answer
    x = 7,525.43

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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.