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Finding the Fourth Proportional to 6,485.33, 9,729.53 and 2,102.78

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Solution

The fourth proportional to 6,485.33, 9,729.53 and 2,102.78 is: 3,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.33 : 9,729.53 = 2,102.78 : x
  2. Step 2: Convert to fraction form
    6,485.33/9,729.53 = 2,102.78/x
  3. Step 3: Cross multiply
    6,485.33x = 9,729.53 × 2,102.78
  4. Step 4: Simplify right side
    6,485.33x = 20,459,061.09
  5. Step 5: Solve for x
    x = 20,459,061.09/6,485.33
  6. Step 6: Final answer
    x = 3,154.67

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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.