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Finding the Fourth Proportional to 9,564.38, 14,355.22 and 4,021.82

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Solution

The fourth proportional to 9,564.38, 14,355.22 and 4,021.82 is: 6,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.38 : 14,355.22 = 4,021.82 : x
  2. Step 2: Convert to fraction form
    9,564.38/14,355.22 = 4,021.82/x
  3. Step 3: Cross multiply
    9,564.38x = 14,355.22 × 4,021.82
  4. Step 4: Simplify right side
    9,564.38x = 57,734,110.90
  5. Step 5: Solve for x
    x = 57,734,110.90/9,564.38
  6. Step 6: Final answer
    x = 6,036.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.