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Finding the Fourth Proportional to 6,289.37, 9,435.67 and 4,444.10

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Solution

The fourth proportional to 6,289.37, 9,435.67 and 4,444.10 is: 6,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.37 : 9,435.67 = 4,444.10 : x
  2. Step 2: Convert to fraction form
    6,289.37/9,435.67 = 4,444.10/x
  3. Step 3: Cross multiply
    6,289.37x = 9,435.67 × 4,444.10
  4. Step 4: Simplify right side
    6,289.37x = 41,933,061.05
  5. Step 5: Solve for x
    x = 41,933,061.05/6,289.37
  6. Step 6: Final answer
    x = 6,667.29

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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.