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Finding the Fourth Proportional to 9,289.41, 13,917.87 and 7,739.37

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Solution

The fourth proportional to 9,289.41, 13,917.87 and 7,739.37 is: 11,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.41 : 13,917.87 = 7,739.37 : x
  2. Step 2: Convert to fraction form
    9,289.41/13,917.87 = 7,739.37/x
  3. Step 3: Cross multiply
    9,289.41x = 13,917.87 × 7,739.37
  4. Step 4: Simplify right side
    9,289.41x = 107,715,545.54
  5. Step 5: Solve for x
    x = 107,715,545.54/9,289.41
  6. Step 6: Final answer
    x = 11,595.52

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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.