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Finding the Fourth Proportional to 6,944.45, 9,586.46 and 4,429.90

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Solution

The fourth proportional to 6,944.45, 9,586.46 and 4,429.90 is: 6,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.45 : 9,586.46 = 4,429.90 : x
  2. Step 2: Convert to fraction form
    6,944.45/9,586.46 = 4,429.90/x
  3. Step 3: Cross multiply
    6,944.45x = 9,586.46 × 4,429.90
  4. Step 4: Simplify right side
    6,944.45x = 42,467,059.15
  5. Step 5: Solve for x
    x = 42,467,059.15/6,944.45
  6. Step 6: Final answer
    x = 6,115.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.