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Finding the Fourth Proportional to 6,457.98, 9,684.87 and 3,989.10

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Solution

The fourth proportional to 6,457.98, 9,684.87 and 3,989.10 is: 5,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.98 : 9,684.87 = 3,989.10 : x
  2. Step 2: Convert to fraction form
    6,457.98/9,684.87 = 3,989.10/x
  3. Step 3: Cross multiply
    6,457.98x = 9,684.87 × 3,989.10
  4. Step 4: Simplify right side
    6,457.98x = 38,633,914.92
  5. Step 5: Solve for x
    x = 38,633,914.92/6,457.98
  6. Step 6: Final answer
    x = 5,982.35

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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.