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Finding the Fourth Proportional to 9,297.30, 13,912.53 and 6,825.99

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Solution

The fourth proportional to 9,297.30, 13,912.53 and 6,825.99 is: 10,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.30 : 13,912.53 = 6,825.99 : x
  2. Step 2: Convert to fraction form
    9,297.30/13,912.53 = 6,825.99/x
  3. Step 3: Cross multiply
    9,297.30x = 13,912.53 × 6,825.99
  4. Step 4: Simplify right side
    9,297.30x = 94,966,790.65
  5. Step 5: Solve for x
    x = 94,966,790.65/9,297.30
  6. Step 6: Final answer
    x = 10,214.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.