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Finding the Fourth Proportional to 9,289.17, 12,747.96 and 9,223.56

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Solution

The fourth proportional to 9,289.17, 12,747.96 and 9,223.56 is: 12,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.17 : 12,747.96 = 9,223.56 : x
  2. Step 2: Convert to fraction form
    9,289.17/12,747.96 = 9,223.56/x
  3. Step 3: Cross multiply
    9,289.17x = 12,747.96 × 9,223.56
  4. Step 4: Simplify right side
    9,289.17x = 117,581,573.94
  5. Step 5: Solve for x
    x = 117,581,573.94/9,289.17
  6. Step 6: Final answer
    x = 12,657.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.