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Finding the Fourth Proportional to 9,736.64, 14,606 and 9,211.84

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Solution

The fourth proportional to 9,736.64, 14,606 and 9,211.84 is: 13,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.64 : 14,606 = 9,211.84 : x
  2. Step 2: Convert to fraction form
    9,736.64/14,606 = 9,211.84/x
  3. Step 3: Cross multiply
    9,736.64x = 14,606 × 9,211.84
  4. Step 4: Simplify right side
    9,736.64x = 134,548,135.04
  5. Step 5: Solve for x
    x = 134,548,135.04/9,736.64
  6. Step 6: Final answer
    x = 13,818.74

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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.