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Finding the Fourth Proportional to 9,914.40, 14,871.50 and 3,340.54

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Solution

The fourth proportional to 9,914.40, 14,871.50 and 3,340.54 is: 5,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.40 : 14,871.50 = 3,340.54 : x
  2. Step 2: Convert to fraction form
    9,914.40/14,871.50 = 3,340.54/x
  3. Step 3: Cross multiply
    9,914.40x = 14,871.50 × 3,340.54
  4. Step 4: Simplify right side
    9,914.40x = 49,678,855.02
  5. Step 5: Solve for x
    x = 49,678,855.02/9,914.40
  6. Step 6: Final answer
    x = 5,010.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.