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Finding the Fourth Proportional to 9,234.84, 13,852.17 and 2,309.34

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Solution

The fourth proportional to 9,234.84, 13,852.17 and 2,309.34 is: 3,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.84 : 13,852.17 = 2,309.34 : x
  2. Step 2: Convert to fraction form
    9,234.84/13,852.17 = 2,309.34/x
  3. Step 3: Cross multiply
    9,234.84x = 13,852.17 × 2,309.34
  4. Step 4: Simplify right side
    9,234.84x = 31,989,370.27
  5. Step 5: Solve for x
    x = 31,989,370.27/9,234.84
  6. Step 6: Final answer
    x = 3,463.99

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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.