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Finding the Fourth Proportional to 9,564, 14,338.11 and 4,021.62

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Solution

The fourth proportional to 9,564, 14,338.11 and 4,021.62 is: 6,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564 : 14,338.11 = 4,021.62 : x
  2. Step 2: Convert to fraction form
    9,564/14,338.11 = 4,021.62/x
  3. Step 3: Cross multiply
    9,564x = 14,338.11 × 4,021.62
  4. Step 4: Simplify right side
    9,564x = 57,662,429.94
  5. Step 5: Solve for x
    x = 57,662,429.94/9,564
  6. Step 6: Final answer
    x = 6,029.11

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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.