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Finding the Fourth Proportional to 9,235.57, 13,856.42 and 2,995.78

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Solution

The fourth proportional to 9,235.57, 13,856.42 and 2,995.78 is: 4,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.57 : 13,856.42 = 2,995.78 : x
  2. Step 2: Convert to fraction form
    9,235.57/13,856.42 = 2,995.78/x
  3. Step 3: Cross multiply
    9,235.57x = 13,856.42 × 2,995.78
  4. Step 4: Simplify right side
    9,235.57x = 41,510,793.40
  5. Step 5: Solve for x
    x = 41,510,793.40/9,235.57
  6. Step 6: Final answer
    x = 4,494.67

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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.