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Finding the Fourth Proportional to 9,808.64, 14,680.64 and 5,359.52

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Solution

The fourth proportional to 9,808.64, 14,680.64 and 5,359.52 is: 8,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.64 : 14,680.64 = 5,359.52 : x
  2. Step 2: Convert to fraction form
    9,808.64/14,680.64 = 5,359.52/x
  3. Step 3: Cross multiply
    9,808.64x = 14,680.64 × 5,359.52
  4. Step 4: Simplify right side
    9,808.64x = 78,681,183.69
  5. Step 5: Solve for x
    x = 78,681,183.69/9,808.64
  6. Step 6: Final answer
    x = 8,021.62

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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.