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Finding the Fourth Proportional to 9,288.70, 12,805.75 and 6,631.49

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Solution

The fourth proportional to 9,288.70, 12,805.75 and 6,631.49 is: 9,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.70 : 12,805.75 = 6,631.49 : x
  2. Step 2: Convert to fraction form
    9,288.70/12,805.75 = 6,631.49/x
  3. Step 3: Cross multiply
    9,288.70x = 12,805.75 × 6,631.49
  4. Step 4: Simplify right side
    9,288.70x = 84,921,203.07
  5. Step 5: Solve for x
    x = 84,921,203.07/9,288.70
  6. Step 6: Final answer
    x = 9,142.42

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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.