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Finding the Fourth Proportional to 7,222.75, 9,967.29 and 5,072.40

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Solution

The fourth proportional to 7,222.75, 9,967.29 and 5,072.40 is: 6,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.75 : 9,967.29 = 5,072.40 : x
  2. Step 2: Convert to fraction form
    7,222.75/9,967.29 = 5,072.40/x
  3. Step 3: Cross multiply
    7,222.75x = 9,967.29 × 5,072.40
  4. Step 4: Simplify right side
    7,222.75x = 50,558,062.77
  5. Step 5: Solve for x
    x = 50,558,062.77/7,222.75
  6. Step 6: Final answer
    x = 6,999.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.