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Finding the Fourth Proportional to 9,934.27, 14,903.44 and 2,914.50

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Solution

The fourth proportional to 9,934.27, 14,903.44 and 2,914.50 is: 4,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.27 : 14,903.44 = 2,914.50 : x
  2. Step 2: Convert to fraction form
    9,934.27/14,903.44 = 2,914.50/x
  3. Step 3: Cross multiply
    9,934.27x = 14,903.44 × 2,914.50
  4. Step 4: Simplify right side
    9,934.27x = 43,436,075.88
  5. Step 5: Solve for x
    x = 43,436,075.88/9,934.27
  6. Step 6: Final answer
    x = 4,372.35

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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.