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Finding the Fourth Proportional to 9,175.33, 13,758.33 and 3,908.30

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Solution

The fourth proportional to 9,175.33, 13,758.33 and 3,908.30 is: 5,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.33 : 13,758.33 = 3,908.30 : x
  2. Step 2: Convert to fraction form
    9,175.33/13,758.33 = 3,908.30/x
  3. Step 3: Cross multiply
    9,175.33x = 13,758.33 × 3,908.30
  4. Step 4: Simplify right side
    9,175.33x = 53,771,681.14
  5. Step 5: Solve for x
    x = 53,771,681.14/9,175.33
  6. Step 6: Final answer
    x = 5,860.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.