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Finding the Fourth Proportional to 9,084.98, 12,535.62 and 6,846.14

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Solution

The fourth proportional to 9,084.98, 12,535.62 and 6,846.14 is: 9,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.98 : 12,535.62 = 6,846.14 : x
  2. Step 2: Convert to fraction form
    9,084.98/12,535.62 = 6,846.14/x
  3. Step 3: Cross multiply
    9,084.98x = 12,535.62 × 6,846.14
  4. Step 4: Simplify right side
    9,084.98x = 85,820,609.51
  5. Step 5: Solve for x
    x = 85,820,609.51/9,084.98
  6. Step 6: Final answer
    x = 9,446.43

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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.