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Finding the Fourth Proportional to 9,074.91, 12,523.43 and 5,096.07

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Solution

The fourth proportional to 9,074.91, 12,523.43 and 5,096.07 is: 7,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.91 : 12,523.43 = 5,096.07 : x
  2. Step 2: Convert to fraction form
    9,074.91/12,523.43 = 5,096.07/x
  3. Step 3: Cross multiply
    9,074.91x = 12,523.43 × 5,096.07
  4. Step 4: Simplify right side
    9,074.91x = 63,820,250.44
  5. Step 5: Solve for x
    x = 63,820,250.44/9,074.91
  6. Step 6: Final answer
    x = 7,032.60

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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.