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Finding the Fourth Proportional to 9,228.69, 12,741.71 and 5,697.09

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Solution

The fourth proportional to 9,228.69, 12,741.71 and 5,697.09 is: 7,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.69 : 12,741.71 = 5,697.09 : x
  2. Step 2: Convert to fraction form
    9,228.69/12,741.71 = 5,697.09/x
  3. Step 3: Cross multiply
    9,228.69x = 12,741.71 × 5,697.09
  4. Step 4: Simplify right side
    9,228.69x = 72,590,640.14
  5. Step 5: Solve for x
    x = 72,590,640.14/9,228.69
  6. Step 6: Final answer
    x = 7,865.76

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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.