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Finding the Fourth Proportional to 6,288.69, 9,435.77 and 4,344.09

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Solution

The fourth proportional to 6,288.69, 9,435.77 and 4,344.09 is: 6,518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.69 : 9,435.77 = 4,344.09 : x
  2. Step 2: Convert to fraction form
    6,288.69/9,435.77 = 4,344.09/x
  3. Step 3: Cross multiply
    6,288.69x = 9,435.77 × 4,344.09
  4. Step 4: Simplify right side
    6,288.69x = 40,989,834.10
  5. Step 5: Solve for x
    x = 40,989,834.10/6,288.69
  6. Step 6: Final answer
    x = 6,518.02

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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.