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Finding the Fourth Proportional to 9,766.49, 13,474.55 and 6,230.84

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Solution

The fourth proportional to 9,766.49, 13,474.55 and 6,230.84 is: 8,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.49 : 13,474.55 = 6,230.84 : x
  2. Step 2: Convert to fraction form
    9,766.49/13,474.55 = 6,230.84/x
  3. Step 3: Cross multiply
    9,766.49x = 13,474.55 × 6,230.84
  4. Step 4: Simplify right side
    9,766.49x = 83,957,666.60
  5. Step 5: Solve for x
    x = 83,957,666.60/9,766.49
  6. Step 6: Final answer
    x = 8,596.51

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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.