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Finding the Fourth Proportional to 9,914.43, 14,871.63 and 3,340.08

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Solution

The fourth proportional to 9,914.43, 14,871.63 and 3,340.08 is: 5,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.43 : 14,871.63 = 3,340.08 : x
  2. Step 2: Convert to fraction form
    9,914.43/14,871.63 = 3,340.08/x
  3. Step 3: Cross multiply
    9,914.43x = 14,871.63 × 3,340.08
  4. Step 4: Simplify right side
    9,914.43x = 49,672,433.93
  5. Step 5: Solve for x
    x = 49,672,433.93/9,914.43
  6. Step 6: Final answer
    x = 5,010.11

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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.