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Finding the Fourth Proportional to 9,664.64, 14,366.65 and 9,380.84

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Solution

The fourth proportional to 9,664.64, 14,366.65 and 9,380.84 is: 13,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.64 : 14,366.65 = 9,380.84 : x
  2. Step 2: Convert to fraction form
    9,664.64/14,366.65 = 9,380.84/x
  3. Step 3: Cross multiply
    9,664.64x = 14,366.65 × 9,380.84
  4. Step 4: Simplify right side
    9,664.64x = 134,771,244.99
  5. Step 5: Solve for x
    x = 134,771,244.99/9,664.64
  6. Step 6: Final answer
    x = 13,944.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.