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Finding the Fourth Proportional to 9,235.81, 13,856.19 and 3,313.30

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Solution

The fourth proportional to 9,235.81, 13,856.19 and 3,313.30 is: 4,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.81 : 13,856.19 = 3,313.30 : x
  2. Step 2: Convert to fraction form
    9,235.81/13,856.19 = 3,313.30/x
  3. Step 3: Cross multiply
    9,235.81x = 13,856.19 × 3,313.30
  4. Step 4: Simplify right side
    9,235.81x = 45,909,645.05
  5. Step 5: Solve for x
    x = 45,909,645.05/9,235.81
  6. Step 6: Final answer
    x = 4,970.83

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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.