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Finding the Fourth Proportional to 9,598.14, 13,249.14 and 5,620.56

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Solution

The fourth proportional to 9,598.14, 13,249.14 and 5,620.56 is: 7,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.14 : 13,249.14 = 5,620.56 : x
  2. Step 2: Convert to fraction form
    9,598.14/13,249.14 = 5,620.56/x
  3. Step 3: Cross multiply
    9,598.14x = 13,249.14 × 5,620.56
  4. Step 4: Simplify right side
    9,598.14x = 74,467,586.32
  5. Step 5: Solve for x
    x = 74,467,586.32/9,598.14
  6. Step 6: Final answer
    x = 7,758.54

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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.