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Finding the Fourth Proportional to 9,338.54, 13,989.81 and 5,829.92

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Solution

The fourth proportional to 9,338.54, 13,989.81 and 5,829.92 is: 8,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.54 : 13,989.81 = 5,829.92 : x
  2. Step 2: Convert to fraction form
    9,338.54/13,989.81 = 5,829.92/x
  3. Step 3: Cross multiply
    9,338.54x = 13,989.81 × 5,829.92
  4. Step 4: Simplify right side
    9,338.54x = 81,559,556.18
  5. Step 5: Solve for x
    x = 81,559,556.18/9,338.54
  6. Step 6: Final answer
    x = 8,733.65

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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.