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Finding the Fourth Proportional to 6,453.19, 9,678.62 and 1,709.38

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Solution

The fourth proportional to 6,453.19, 9,678.62 and 1,709.38 is: 2,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.19 : 9,678.62 = 1,709.38 : x
  2. Step 2: Convert to fraction form
    6,453.19/9,678.62 = 1,709.38/x
  3. Step 3: Cross multiply
    6,453.19x = 9,678.62 × 1,709.38
  4. Step 4: Simplify right side
    6,453.19x = 16,544,419.53
  5. Step 5: Solve for x
    x = 16,544,419.53/6,453.19
  6. Step 6: Final answer
    x = 2,563.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.