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Finding the Fourth Proportional to 9,464.96, 14,195.48 and 8,996.64

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Solution

The fourth proportional to 9,464.96, 14,195.48 and 8,996.64 is: 13,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.96 : 14,195.48 = 8,996.64 : x
  2. Step 2: Convert to fraction form
    9,464.96/14,195.48 = 8,996.64/x
  3. Step 3: Cross multiply
    9,464.96x = 14,195.48 × 8,996.64
  4. Step 4: Simplify right side
    9,464.96x = 127,711,623.19
  5. Step 5: Solve for x
    x = 127,711,623.19/9,464.96
  6. Step 6: Final answer
    x = 13,493.10

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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.