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Finding the Fourth Proportional to 10,447.88, 14,420.37 and 7,222.22

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Solution

The fourth proportional to 10,447.88, 14,420.37 and 7,222.22 is: 9,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.88 : 14,420.37 = 7,222.22 : x
  2. Step 2: Convert to fraction form
    10,447.88/14,420.37 = 7,222.22/x
  3. Step 3: Cross multiply
    10,447.88x = 14,420.37 × 7,222.22
  4. Step 4: Simplify right side
    10,447.88x = 104,147,084.62
  5. Step 5: Solve for x
    x = 104,147,084.62/10,447.88
  6. Step 6: Final answer
    x = 9,968.25

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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.