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Finding the Fourth Proportional to 9,457.92, 14,187.42 and 2,884.56

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Solution

The fourth proportional to 9,457.92, 14,187.42 and 2,884.56 is: 4,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.92 : 14,187.42 = 2,884.56 : x
  2. Step 2: Convert to fraction form
    9,457.92/14,187.42 = 2,884.56/x
  3. Step 3: Cross multiply
    9,457.92x = 14,187.42 × 2,884.56
  4. Step 4: Simplify right side
    9,457.92x = 40,924,464.24
  5. Step 5: Solve for x
    x = 40,924,464.24/9,457.92
  6. Step 6: Final answer
    x = 4,327.00

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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.