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Finding the Fourth Proportional to 6,452.94, 9,680.37 and 2,009.58

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Solution

The fourth proportional to 6,452.94, 9,680.37 and 2,009.58 is: 3,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.94 : 9,680.37 = 2,009.58 : x
  2. Step 2: Convert to fraction form
    6,452.94/9,680.37 = 2,009.58/x
  3. Step 3: Cross multiply
    6,452.94x = 9,680.37 × 2,009.58
  4. Step 4: Simplify right side
    6,452.94x = 19,453,477.94
  5. Step 5: Solve for x
    x = 19,453,477.94/6,452.94
  6. Step 6: Final answer
    x = 3,014.67

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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.