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Finding the Fourth Proportional to 6,431.12, 9,647.89 and 4,355.90

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Solution

The fourth proportional to 6,431.12, 9,647.89 and 4,355.90 is: 6,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.12 : 9,647.89 = 4,355.90 : x
  2. Step 2: Convert to fraction form
    6,431.12/9,647.89 = 4,355.90/x
  3. Step 3: Cross multiply
    6,431.12x = 9,647.89 × 4,355.90
  4. Step 4: Simplify right side
    6,431.12x = 42,025,244.05
  5. Step 5: Solve for x
    x = 42,025,244.05/6,431.12
  6. Step 6: Final answer
    x = 6,534.67

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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.