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Finding the Fourth Proportional to 9,201.44, 12,696.30 and 5,425.79

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Solution

The fourth proportional to 9,201.44, 12,696.30 and 5,425.79 is: 7,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.44 : 12,696.30 = 5,425.79 : x
  2. Step 2: Convert to fraction form
    9,201.44/12,696.30 = 5,425.79/x
  3. Step 3: Cross multiply
    9,201.44x = 12,696.30 × 5,425.79
  4. Step 4: Simplify right side
    9,201.44x = 68,887,457.58
  5. Step 5: Solve for x
    x = 68,887,457.58/9,201.44
  6. Step 6: Final answer
    x = 7,486.60

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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.