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Finding the Fourth Proportional to 9,847.20, 14,749.20 and 9,631.20

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Solution

The fourth proportional to 9,847.20, 14,749.20 and 9,631.20 is: 14,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.20 : 14,749.20 = 9,631.20 : x
  2. Step 2: Convert to fraction form
    9,847.20/14,749.20 = 9,631.20/x
  3. Step 3: Cross multiply
    9,847.20x = 14,749.20 × 9,631.20
  4. Step 4: Simplify right side
    9,847.20x = 142,052,495.04
  5. Step 5: Solve for x
    x = 142,052,495.04/9,847.20
  6. Step 6: Final answer
    x = 14,425.67

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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.