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Finding the Fourth Proportional to 9,766.84, 13,477.43 and 5,518.27

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Solution

The fourth proportional to 9,766.84, 13,477.43 and 5,518.27 is: 7,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.84 : 13,477.43 = 5,518.27 : x
  2. Step 2: Convert to fraction form
    9,766.84/13,477.43 = 5,518.27/x
  3. Step 3: Cross multiply
    9,766.84x = 13,477.43 × 5,518.27
  4. Step 4: Simplify right side
    9,766.84x = 74,372,060.24
  5. Step 5: Solve for x
    x = 74,372,060.24/9,766.84
  6. Step 6: Final answer
    x = 7,614.75

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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.