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Finding the Fourth Proportional to 9,288.66, 12,835.29 and 6,766.38

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Solution

The fourth proportional to 9,288.66, 12,835.29 and 6,766.38 is: 9,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.66 : 12,835.29 = 6,766.38 : x
  2. Step 2: Convert to fraction form
    9,288.66/12,835.29 = 6,766.38/x
  3. Step 3: Cross multiply
    9,288.66x = 12,835.29 × 6,766.38
  4. Step 4: Simplify right side
    9,288.66x = 86,848,449.55
  5. Step 5: Solve for x
    x = 86,848,449.55/9,288.66
  6. Step 6: Final answer
    x = 9,349.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.