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Finding the Fourth Proportional to 6,944.60, 9,586.65 and 4,430.09

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Solution

The fourth proportional to 6,944.60, 9,586.65 and 4,430.09 is: 6,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.60 : 9,586.65 = 4,430.09 : x
  2. Step 2: Convert to fraction form
    6,944.60/9,586.65 = 4,430.09/x
  3. Step 3: Cross multiply
    6,944.60x = 9,586.65 × 4,430.09
  4. Step 4: Simplify right side
    6,944.60x = 42,469,762.88
  5. Step 5: Solve for x
    x = 42,469,762.88/6,944.60
  6. Step 6: Final answer
    x = 6,115.51

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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.