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Finding the Fourth Proportional to 9,782.64, 13,496.50 and 6,427.26

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Solution

The fourth proportional to 9,782.64, 13,496.50 and 6,427.26 is: 8,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.64 : 13,496.50 = 6,427.26 : x
  2. Step 2: Convert to fraction form
    9,782.64/13,496.50 = 6,427.26/x
  3. Step 3: Cross multiply
    9,782.64x = 13,496.50 × 6,427.26
  4. Step 4: Simplify right side
    9,782.64x = 86,745,514.59
  5. Step 5: Solve for x
    x = 86,745,514.59/9,782.64
  6. Step 6: Final answer
    x = 8,867.29

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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.