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Finding the Fourth Proportional to 9,611.21, 13,262.46 and 5,631.57

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Solution

The fourth proportional to 9,611.21, 13,262.46 and 5,631.57 is: 7,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.21 : 13,262.46 = 5,631.57 : x
  2. Step 2: Convert to fraction form
    9,611.21/13,262.46 = 5,631.57/x
  3. Step 3: Cross multiply
    9,611.21x = 13,262.46 × 5,631.57
  4. Step 4: Simplify right side
    9,611.21x = 74,688,471.86
  5. Step 5: Solve for x
    x = 74,688,471.86/9,611.21
  6. Step 6: Final answer
    x = 7,770.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.