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Finding the Fourth Proportional to 9,660.30, 14,458.05 and 6,744.30

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Solution

The fourth proportional to 9,660.30, 14,458.05 and 6,744.30 is: 10,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.30 : 14,458.05 = 6,744.30 : x
  2. Step 2: Convert to fraction form
    9,660.30/14,458.05 = 6,744.30/x
  3. Step 3: Cross multiply
    9,660.30x = 14,458.05 × 6,744.30
  4. Step 4: Simplify right side
    9,660.30x = 97,509,426.62
  5. Step 5: Solve for x
    x = 97,509,426.62/9,660.30
  6. Step 6: Final answer
    x = 10,093.83

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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.