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Finding the Fourth Proportional to 27,643.07, 41,464.60 and 9,175.07

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Solution

The fourth proportional to 27,643.07, 41,464.60 and 9,175.07 is: 13,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.07 : 41,464.60 = 9,175.07 : x
  2. Step 2: Convert to fraction form
    27,643.07/41,464.60 = 9,175.07/x
  3. Step 3: Cross multiply
    27,643.07x = 41,464.60 × 9,175.07
  4. Step 4: Simplify right side
    27,643.07x = 380,440,400.20
  5. Step 5: Solve for x
    x = 380,440,400.20/27,643.07
  6. Step 6: Final answer
    x = 13,762.60

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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.