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Finding the Fourth Proportional to 6,852.85, 9,457.00 and 4,020.27

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Solution

The fourth proportional to 6,852.85, 9,457.00 and 4,020.27 is: 5,548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.85 : 9,457.00 = 4,020.27 : x
  2. Step 2: Convert to fraction form
    6,852.85/9,457.00 = 4,020.27/x
  3. Step 3: Cross multiply
    6,852.85x = 9,457.00 × 4,020.27
  4. Step 4: Simplify right side
    6,852.85x = 38,019,691.99
  5. Step 5: Solve for x
    x = 38,019,691.99/6,852.85
  6. Step 6: Final answer
    x = 5,548.02

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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.