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Finding the Fourth Proportional to 9,493, 14,239.50 and 3,337

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Solution

The fourth proportional to 9,493, 14,239.50 and 3,337 is: 5,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493 : 14,239.50 = 3,337 : x
  2. Step 2: Convert to fraction form
    9,493/14,239.50 = 3,337/x
  3. Step 3: Cross multiply
    9,493x = 14,239.50 × 3,337
  4. Step 4: Simplify right side
    9,493x = 47,517,211.50
  5. Step 5: Solve for x
    x = 47,517,211.50/9,493
  6. Step 6: Final answer
    x = 5,005.50

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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.