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Finding the Fourth Proportional to 9,811.05, 14,714.50 and 3,235.68

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Solution

The fourth proportional to 9,811.05, 14,714.50 and 3,235.68 is: 4,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.05 : 14,714.50 = 3,235.68 : x
  2. Step 2: Convert to fraction form
    9,811.05/14,714.50 = 3,235.68/x
  3. Step 3: Cross multiply
    9,811.05x = 14,714.50 × 3,235.68
  4. Step 4: Simplify right side
    9,811.05x = 47,611,413.36
  5. Step 5: Solve for x
    x = 47,611,413.36/9,811.05
  6. Step 6: Final answer
    x = 4,852.84

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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.