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Finding the Fourth Proportional to 9,165.25, 12,648.08 and 5,628.43

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Solution

The fourth proportional to 9,165.25, 12,648.08 and 5,628.43 is: 7,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.25 : 12,648.08 = 5,628.43 : x
  2. Step 2: Convert to fraction form
    9,165.25/12,648.08 = 5,628.43/x
  3. Step 3: Cross multiply
    9,165.25x = 12,648.08 × 5,628.43
  4. Step 4: Simplify right side
    9,165.25x = 71,188,832.91
  5. Step 5: Solve for x
    x = 71,188,832.91/9,165.25
  6. Step 6: Final answer
    x = 7,767.25

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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.