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Finding the Fourth Proportional to 6,819.15, 9,408.24 and 4,814.40

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Solution

The fourth proportional to 6,819.15, 9,408.24 and 4,814.40 is: 6,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.15 : 9,408.24 = 4,814.40 : x
  2. Step 2: Convert to fraction form
    6,819.15/9,408.24 = 4,814.40/x
  3. Step 3: Cross multiply
    6,819.15x = 9,408.24 × 4,814.40
  4. Step 4: Simplify right side
    6,819.15x = 45,295,030.66
  5. Step 5: Solve for x
    x = 45,295,030.66/6,819.15
  6. Step 6: Final answer
    x = 6,642.33

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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.