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Finding the Fourth Proportional to 9,222.22, 13,821.72 and 5,005.33

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Solution

The fourth proportional to 9,222.22, 13,821.72 and 5,005.33 is: 7,501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.22 : 13,821.72 = 5,005.33 : x
  2. Step 2: Convert to fraction form
    9,222.22/13,821.72 = 5,005.33/x
  3. Step 3: Cross multiply
    9,222.22x = 13,821.72 × 5,005.33
  4. Step 4: Simplify right side
    9,222.22x = 69,182,269.77
  5. Step 5: Solve for x
    x = 69,182,269.77/9,222.22
  6. Step 6: Final answer
    x = 7,501.69

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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.