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Finding the Fourth Proportional to 9,296.37, 12,828.61 and 5,047.27

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Solution

The fourth proportional to 9,296.37, 12,828.61 and 5,047.27 is: 6,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.37 : 12,828.61 = 5,047.27 : x
  2. Step 2: Convert to fraction form
    9,296.37/12,828.61 = 5,047.27/x
  3. Step 3: Cross multiply
    9,296.37x = 12,828.61 × 5,047.27
  4. Step 4: Simplify right side
    9,296.37x = 64,749,369.02
  5. Step 5: Solve for x
    x = 64,749,369.02/9,296.37
  6. Step 6: Final answer
    x = 6,965.02

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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.