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Finding the Fourth Proportional to 9,339.69, 13,993.96 and 7,678.94

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Solution

The fourth proportional to 9,339.69, 13,993.96 and 7,678.94 is: 11,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.69 : 13,993.96 = 7,678.94 : x
  2. Step 2: Convert to fraction form
    9,339.69/13,993.96 = 7,678.94/x
  3. Step 3: Cross multiply
    9,339.69x = 13,993.96 × 7,678.94
  4. Step 4: Simplify right side
    9,339.69x = 107,458,709.23
  5. Step 5: Solve for x
    x = 107,458,709.23/9,339.69
  6. Step 6: Final answer
    x = 11,505.60

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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.