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Finding the Fourth Proportional to 6,446.26, 8,890.77 and 4,321.06

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Solution

The fourth proportional to 6,446.26, 8,890.77 and 4,321.06 is: 5,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.26 : 8,890.77 = 4,321.06 : x
  2. Step 2: Convert to fraction form
    6,446.26/8,890.77 = 4,321.06/x
  3. Step 3: Cross multiply
    6,446.26x = 8,890.77 × 4,321.06
  4. Step 4: Simplify right side
    6,446.26x = 38,417,550.62
  5. Step 5: Solve for x
    x = 38,417,550.62/6,446.26
  6. Step 6: Final answer
    x = 5,959.67

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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.