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Finding the Fourth Proportional to 9,234.74, 13,852.14 and 2,309.24

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Solution

The fourth proportional to 9,234.74, 13,852.14 and 2,309.24 is: 3,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.74 : 13,852.14 = 2,309.24 : x
  2. Step 2: Convert to fraction form
    9,234.74/13,852.14 = 2,309.24/x
  3. Step 3: Cross multiply
    9,234.74x = 13,852.14 × 2,309.24
  4. Step 4: Simplify right side
    9,234.74x = 31,987,915.77
  5. Step 5: Solve for x
    x = 31,987,915.77/9,234.74
  6. Step 6: Final answer
    x = 3,463.87

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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.