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Finding the Fourth Proportional to 9,286.31, 13,913.24 and 7,736.28

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Solution

The fourth proportional to 9,286.31, 13,913.24 and 7,736.28 is: 11,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.31 : 13,913.24 = 7,736.28 : x
  2. Step 2: Convert to fraction form
    9,286.31/13,913.24 = 7,736.28/x
  3. Step 3: Cross multiply
    9,286.31x = 13,913.24 × 7,736.28
  4. Step 4: Simplify right side
    9,286.31x = 107,636,681.67
  5. Step 5: Solve for x
    x = 107,636,681.67/9,286.31
  6. Step 6: Final answer
    x = 11,590.91

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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.