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Finding the Fourth Proportional to 6,380.37, 9,514.26 and 5,603.58

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Solution

The fourth proportional to 6,380.37, 9,514.26 and 5,603.58 is: 8,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.37 : 9,514.26 = 5,603.58 : x
  2. Step 2: Convert to fraction form
    6,380.37/9,514.26 = 5,603.58/x
  3. Step 3: Cross multiply
    6,380.37x = 9,514.26 × 5,603.58
  4. Step 4: Simplify right side
    6,380.37x = 53,313,917.05
  5. Step 5: Solve for x
    x = 53,313,917.05/6,380.37
  6. Step 6: Final answer
    x = 8,355.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.