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Finding the Fourth Proportional to 6,457.44, 9,684.18 and 2,073.72

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Solution

The fourth proportional to 6,457.44, 9,684.18 and 2,073.72 is: 3,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.44 : 9,684.18 = 2,073.72 : x
  2. Step 2: Convert to fraction form
    6,457.44/9,684.18 = 2,073.72/x
  3. Step 3: Cross multiply
    6,457.44x = 9,684.18 × 2,073.72
  4. Step 4: Simplify right side
    6,457.44x = 20,082,277.75
  5. Step 5: Solve for x
    x = 20,082,277.75/6,457.44
  6. Step 6: Final answer
    x = 3,109.94

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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.