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Finding the Fourth Proportional to 9,234.24, 13,852.24 and 2,994.96

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Solution

The fourth proportional to 9,234.24, 13,852.24 and 2,994.96 is: 4,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.24 : 13,852.24 = 2,994.96 : x
  2. Step 2: Convert to fraction form
    9,234.24/13,852.24 = 2,994.96/x
  3. Step 3: Cross multiply
    9,234.24x = 13,852.24 × 2,994.96
  4. Step 4: Simplify right side
    9,234.24x = 41,486,904.71
  5. Step 5: Solve for x
    x = 41,486,904.71/9,234.24
  6. Step 6: Final answer
    x = 4,492.73

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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.