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Finding the Fourth Proportional to 9,768.82, 13,480.97 and 5,292.60

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Solution

The fourth proportional to 9,768.82, 13,480.97 and 5,292.60 is: 7,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.82 : 13,480.97 = 5,292.60 : x
  2. Step 2: Convert to fraction form
    9,768.82/13,480.97 = 5,292.60/x
  3. Step 3: Cross multiply
    9,768.82x = 13,480.97 × 5,292.60
  4. Step 4: Simplify right side
    9,768.82x = 71,349,381.82
  5. Step 5: Solve for x
    x = 71,349,381.82/9,768.82
  6. Step 6: Final answer
    x = 7,303.79

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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.