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Finding the Fourth Proportional to 7,221.23, 9,966 and 4,387.98

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Solution

The fourth proportional to 7,221.23, 9,966 and 4,387.98 is: 6,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.23 : 9,966 = 4,387.98 : x
  2. Step 2: Convert to fraction form
    7,221.23/9,966 = 4,387.98/x
  3. Step 3: Cross multiply
    7,221.23x = 9,966 × 4,387.98
  4. Step 4: Simplify right side
    7,221.23x = 43,730,608.68
  5. Step 5: Solve for x
    x = 43,730,608.68/7,221.23
  6. Step 6: Final answer
    x = 6,055.84

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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.