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Finding the Fourth Proportional to 10,287.38, 15,406.44 and 9,770.70

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Solution

The fourth proportional to 10,287.38, 15,406.44 and 9,770.70 is: 14,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.38 : 15,406.44 = 9,770.70 : x
  2. Step 2: Convert to fraction form
    10,287.38/15,406.44 = 9,770.70/x
  3. Step 3: Cross multiply
    10,287.38x = 15,406.44 × 9,770.70
  4. Step 4: Simplify right side
    10,287.38x = 150,531,703.31
  5. Step 5: Solve for x
    x = 150,531,703.31/10,287.38
  6. Step 6: Final answer
    x = 14,632.66

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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.