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Finding the Fourth Proportional to 9,768.84, 13,480.19 and 5,520.27

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Solution

The fourth proportional to 9,768.84, 13,480.19 and 5,520.27 is: 7,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.84 : 13,480.19 = 5,520.27 : x
  2. Step 2: Convert to fraction form
    9,768.84/13,480.19 = 5,520.27/x
  3. Step 3: Cross multiply
    9,768.84x = 13,480.19 × 5,520.27
  4. Step 4: Simplify right side
    9,768.84x = 74,414,288.45
  5. Step 5: Solve for x
    x = 74,414,288.45/9,768.84
  6. Step 6: Final answer
    x = 7,617.52

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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.