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Finding the Fourth Proportional to 9,495.64, 13,084.50 and 8,549.56

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Solution

The fourth proportional to 9,495.64, 13,084.50 and 8,549.56 is: 11,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.64 : 13,084.50 = 8,549.56 : x
  2. Step 2: Convert to fraction form
    9,495.64/13,084.50 = 8,549.56/x
  3. Step 3: Cross multiply
    9,495.64x = 13,084.50 × 8,549.56
  4. Step 4: Simplify right side
    9,495.64x = 111,866,717.82
  5. Step 5: Solve for x
    x = 111,866,717.82/9,495.64
  6. Step 6: Final answer
    x = 11,780.85

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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.