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Finding the Fourth Proportional to 9,313.69, 13,967.57 and 3,072.54

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Solution

The fourth proportional to 9,313.69, 13,967.57 and 3,072.54 is: 4,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.69 : 13,967.57 = 3,072.54 : x
  2. Step 2: Convert to fraction form
    9,313.69/13,967.57 = 3,072.54/x
  3. Step 3: Cross multiply
    9,313.69x = 13,967.57 × 3,072.54
  4. Step 4: Simplify right side
    9,313.69x = 42,915,917.53
  5. Step 5: Solve for x
    x = 42,915,917.53/9,313.69
  6. Step 6: Final answer
    x = 4,607.83

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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.