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Finding the Fourth Proportional to 9,612.81, 14,428.22 and 5,922.27

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Solution

The fourth proportional to 9,612.81, 14,428.22 and 5,922.27 is: 8,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.81 : 14,428.22 = 5,922.27 : x
  2. Step 2: Convert to fraction form
    9,612.81/14,428.22 = 5,922.27/x
  3. Step 3: Cross multiply
    9,612.81x = 14,428.22 × 5,922.27
  4. Step 4: Simplify right side
    9,612.81x = 85,447,784.85
  5. Step 5: Solve for x
    x = 85,447,784.85/9,612.81
  6. Step 6: Final answer
    x = 8,888.95

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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.