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Finding the Fourth Proportional to 6,562.69, 9,844.03 and 1,945.69

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Solution

The fourth proportional to 6,562.69, 9,844.03 and 1,945.69 is: 2,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.69 : 9,844.03 = 1,945.69 : x
  2. Step 2: Convert to fraction form
    6,562.69/9,844.03 = 1,945.69/x
  3. Step 3: Cross multiply
    6,562.69x = 9,844.03 × 1,945.69
  4. Step 4: Simplify right side
    6,562.69x = 19,153,408.55
  5. Step 5: Solve for x
    x = 19,153,408.55/6,562.69
  6. Step 6: Final answer
    x = 2,918.53

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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.