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Finding the Fourth Proportional to 9,768.35, 13,480.31 and 5,292.22

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Solution

The fourth proportional to 9,768.35, 13,480.31 and 5,292.22 is: 7,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.35 : 13,480.31 = 5,292.22 : x
  2. Step 2: Convert to fraction form
    9,768.35/13,480.31 = 5,292.22/x
  3. Step 3: Cross multiply
    9,768.35x = 13,480.31 × 5,292.22
  4. Step 4: Simplify right side
    9,768.35x = 71,340,672.33
  5. Step 5: Solve for x
    x = 71,340,672.33/9,768.35
  6. Step 6: Final answer
    x = 7,303.25

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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.