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Finding the Fourth Proportional to 6,843.98, 9,385.77 and 6,559.94

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Solution

The fourth proportional to 6,843.98, 9,385.77 and 6,559.94 is: 8,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.98 : 9,385.77 = 6,559.94 : x
  2. Step 2: Convert to fraction form
    6,843.98/9,385.77 = 6,559.94/x
  3. Step 3: Cross multiply
    6,843.98x = 9,385.77 × 6,559.94
  4. Step 4: Simplify right side
    6,843.98x = 61,570,041.12
  5. Step 5: Solve for x
    x = 61,570,041.12/6,843.98
  6. Step 6: Final answer
    x = 8,996.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.