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Finding the Fourth Proportional to 9,460.68, 14,189.46 and 3,536

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Solution

The fourth proportional to 9,460.68, 14,189.46 and 3,536 is: 5,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.68 : 14,189.46 = 3,536 : x
  2. Step 2: Convert to fraction form
    9,460.68/14,189.46 = 3,536/x
  3. Step 3: Cross multiply
    9,460.68x = 14,189.46 × 3,536
  4. Step 4: Simplify right side
    9,460.68x = 50,173,930.56
  5. Step 5: Solve for x
    x = 50,173,930.56/9,460.68
  6. Step 6: Final answer
    x = 5,303.42

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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.