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Finding the Fourth Proportional to 9,217.56, 12,705.18 and 6,418.20

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Solution

The fourth proportional to 9,217.56, 12,705.18 and 6,418.20 is: 8,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.56 : 12,705.18 = 6,418.20 : x
  2. Step 2: Convert to fraction form
    9,217.56/12,705.18 = 6,418.20/x
  3. Step 3: Cross multiply
    9,217.56x = 12,705.18 × 6,418.20
  4. Step 4: Simplify right side
    9,217.56x = 81,544,386.28
  5. Step 5: Solve for x
    x = 81,544,386.28/9,217.56
  6. Step 6: Final answer
    x = 8,846.63

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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.