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Finding the Fourth Proportional to 6,957.94, 9,596.37 and 6,116.86

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Solution

The fourth proportional to 6,957.94, 9,596.37 and 6,116.86 is: 8,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.94 : 9,596.37 = 6,116.86 : x
  2. Step 2: Convert to fraction form
    6,957.94/9,596.37 = 6,116.86/x
  3. Step 3: Cross multiply
    6,957.94x = 9,596.37 × 6,116.86
  4. Step 4: Simplify right side
    6,957.94x = 58,699,651.80
  5. Step 5: Solve for x
    x = 58,699,651.80/6,957.94
  6. Step 6: Final answer
    x = 8,436.35

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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.