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Finding the Fourth Proportional to 9,183.20, 12,672.80 and 5,457.20

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Solution

The fourth proportional to 9,183.20, 12,672.80 and 5,457.20 is: 7,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.20 : 12,672.80 = 5,457.20 : x
  2. Step 2: Convert to fraction form
    9,183.20/12,672.80 = 5,457.20/x
  3. Step 3: Cross multiply
    9,183.20x = 12,672.80 × 5,457.20
  4. Step 4: Simplify right side
    9,183.20x = 69,157,913.51
  5. Step 5: Solve for x
    x = 69,157,913.51/9,183.20
  6. Step 6: Final answer
    x = 7,530.92

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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.