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Finding the Fourth Proportional to 6,568.37, 9,849.32 and 2,405.24

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Solution

The fourth proportional to 6,568.37, 9,849.32 and 2,405.24 is: 3,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.37 : 9,849.32 = 2,405.24 : x
  2. Step 2: Convert to fraction form
    6,568.37/9,849.32 = 2,405.24/x
  3. Step 3: Cross multiply
    6,568.37x = 9,849.32 × 2,405.24
  4. Step 4: Simplify right side
    6,568.37x = 23,689,966.41
  5. Step 5: Solve for x
    x = 23,689,966.41/6,568.37
  6. Step 6: Final answer
    x = 3,606.67

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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.