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Finding the Fourth Proportional to 8,960.90, 13,406.58 and 6,467.81

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Solution

The fourth proportional to 8,960.90, 13,406.58 and 6,467.81 is: 9,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,960.90 : 13,406.58 = 6,467.81 : x
  2. Step 2: Convert to fraction form
    8,960.90/13,406.58 = 6,467.81/x
  3. Step 3: Cross multiply
    8,960.90x = 13,406.58 × 6,467.81
  4. Step 4: Simplify right side
    8,960.90x = 86,711,145.16
  5. Step 5: Solve for x
    x = 86,711,145.16/8,960.90
  6. Step 6: Final answer
    x = 9,676.62

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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.