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Finding the Fourth Proportional to 6,665.69, 9,198.72 and 4,652.03

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Solution

The fourth proportional to 6,665.69, 9,198.72 and 4,652.03 is: 6,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.69 : 9,198.72 = 4,652.03 : x
  2. Step 2: Convert to fraction form
    6,665.69/9,198.72 = 4,652.03/x
  3. Step 3: Cross multiply
    6,665.69x = 9,198.72 × 4,652.03
  4. Step 4: Simplify right side
    6,665.69x = 42,792,744.40
  5. Step 5: Solve for x
    x = 42,792,744.40/6,665.69
  6. Step 6: Final answer
    x = 6,419.85

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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.