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Finding the Fourth Proportional to 9,781.22, 13,475.27 and 8,002.46

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Solution

The fourth proportional to 9,781.22, 13,475.27 and 8,002.46 is: 11,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.22 : 13,475.27 = 8,002.46 : x
  2. Step 2: Convert to fraction form
    9,781.22/13,475.27 = 8,002.46/x
  3. Step 3: Cross multiply
    9,781.22x = 13,475.27 × 8,002.46
  4. Step 4: Simplify right side
    9,781.22x = 107,835,309.16
  5. Step 5: Solve for x
    x = 107,835,309.16/9,781.22
  6. Step 6: Final answer
    x = 11,024.73

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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.