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Finding the Fourth Proportional to 10,660.96, 14,633.84 and 9,455.68

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Solution

The fourth proportional to 10,660.96, 14,633.84 and 9,455.68 is: 12,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.96 : 14,633.84 = 9,455.68 : x
  2. Step 2: Convert to fraction form
    10,660.96/14,633.84 = 9,455.68/x
  3. Step 3: Cross multiply
    10,660.96x = 14,633.84 × 9,455.68
  4. Step 4: Simplify right side
    10,660.96x = 138,372,908.21
  5. Step 5: Solve for x
    x = 138,372,908.21/10,660.96
  6. Step 6: Final answer
    x = 12,979.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.