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Finding the Fourth Proportional to 9,357.64, 12,912.96 and 5,166.04

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Solution

The fourth proportional to 9,357.64, 12,912.96 and 5,166.04 is: 7,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.64 : 12,912.96 = 5,166.04 : x
  2. Step 2: Convert to fraction form
    9,357.64/12,912.96 = 5,166.04/x
  3. Step 3: Cross multiply
    9,357.64x = 12,912.96 × 5,166.04
  4. Step 4: Simplify right side
    9,357.64x = 66,708,867.88
  5. Step 5: Solve for x
    x = 66,708,867.88/9,357.64
  6. Step 6: Final answer
    x = 7,128.81

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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.