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Finding the Fourth Proportional to 9,381.06, 12,946.77 and 6,238.26

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Solution

The fourth proportional to 9,381.06, 12,946.77 and 6,238.26 is: 8,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.06 : 12,946.77 = 6,238.26 : x
  2. Step 2: Convert to fraction form
    9,381.06/12,946.77 = 6,238.26/x
  3. Step 3: Cross multiply
    9,381.06x = 12,946.77 × 6,238.26
  4. Step 4: Simplify right side
    9,381.06x = 80,765,317.42
  5. Step 5: Solve for x
    x = 80,765,317.42/9,381.06
  6. Step 6: Final answer
    x = 8,609.40

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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.