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Finding the Fourth Proportional to 9,782.25, 13,494.54 and 6,191.15

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Solution

The fourth proportional to 9,782.25, 13,494.54 and 6,191.15 is: 8,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.25 : 13,494.54 = 6,191.15 : x
  2. Step 2: Convert to fraction form
    9,782.25/13,494.54 = 6,191.15/x
  3. Step 3: Cross multiply
    9,782.25x = 13,494.54 × 6,191.15
  4. Step 4: Simplify right side
    9,782.25x = 83,546,653.85
  5. Step 5: Solve for x
    x = 83,546,653.85/9,782.25
  6. Step 6: Final answer
    x = 8,540.64

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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.