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Finding the Fourth Proportional to 9,546.34, 13,183.96 and 6,569.86

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Solution

The fourth proportional to 9,546.34, 13,183.96 and 6,569.86 is: 9,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.34 : 13,183.96 = 6,569.86 : x
  2. Step 2: Convert to fraction form
    9,546.34/13,183.96 = 6,569.86/x
  3. Step 3: Cross multiply
    9,546.34x = 13,183.96 × 6,569.86
  4. Step 4: Simplify right side
    9,546.34x = 86,616,771.45
  5. Step 5: Solve for x
    x = 86,616,771.45/9,546.34
  6. Step 6: Final answer
    x = 9,073.30

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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.