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Finding the Fourth Proportional to 9,533, 14,299.98 and 3,377.48

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Solution

The fourth proportional to 9,533, 14,299.98 and 3,377.48 is: 5,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533 : 14,299.98 = 3,377.48 : x
  2. Step 2: Convert to fraction form
    9,533/14,299.98 = 3,377.48/x
  3. Step 3: Cross multiply
    9,533x = 14,299.98 × 3,377.48
  4. Step 4: Simplify right side
    9,533x = 48,297,896.45
  5. Step 5: Solve for x
    x = 48,297,896.45/9,533
  6. Step 6: Final answer
    x = 5,066.39

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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.