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Finding the Fourth Proportional to 9,154.69, 13,743.26 and 6,037.30

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Solution

The fourth proportional to 9,154.69, 13,743.26 and 6,037.30 is: 9,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.69 : 13,743.26 = 6,037.30 : x
  2. Step 2: Convert to fraction form
    9,154.69/13,743.26 = 6,037.30/x
  3. Step 3: Cross multiply
    9,154.69x = 13,743.26 × 6,037.30
  4. Step 4: Simplify right side
    9,154.69x = 82,972,183.60
  5. Step 5: Solve for x
    x = 82,972,183.60/9,154.69
  6. Step 6: Final answer
    x = 9,063.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.