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Finding the Fourth Proportional to 9,458.64, 13,052.92 and 5,266.88

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Solution

The fourth proportional to 9,458.64, 13,052.92 and 5,266.88 is: 7,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.64 : 13,052.92 = 5,266.88 : x
  2. Step 2: Convert to fraction form
    9,458.64/13,052.92 = 5,266.88/x
  3. Step 3: Cross multiply
    9,458.64x = 13,052.92 × 5,266.88
  4. Step 4: Simplify right side
    9,458.64x = 68,748,163.29
  5. Step 5: Solve for x
    x = 68,748,163.29/9,458.64
  6. Step 6: Final answer
    x = 7,268.29

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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.