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Finding the Fourth Proportional to 9,866.39, 14,800.49 and 2,846.31

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Solution

The fourth proportional to 9,866.39, 14,800.49 and 2,846.31 is: 4,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.39 : 14,800.49 = 2,846.31 : x
  2. Step 2: Convert to fraction form
    9,866.39/14,800.49 = 2,846.31/x
  3. Step 3: Cross multiply
    9,866.39x = 14,800.49 × 2,846.31
  4. Step 4: Simplify right side
    9,866.39x = 42,126,768.46
  5. Step 5: Solve for x
    x = 42,126,768.46/9,866.39
  6. Step 6: Final answer
    x = 4,269.73

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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.