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Finding the Fourth Proportional to 9,222.36, 13,845.21 and 7,681.23

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Solution

The fourth proportional to 9,222.36, 13,845.21 and 7,681.23 is: 11,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.36 : 13,845.21 = 7,681.23 : x
  2. Step 2: Convert to fraction form
    9,222.36/13,845.21 = 7,681.23/x
  3. Step 3: Cross multiply
    9,222.36x = 13,845.21 × 7,681.23
  4. Step 4: Simplify right side
    9,222.36x = 106,348,242.41
  5. Step 5: Solve for x
    x = 106,348,242.41/9,222.36
  6. Step 6: Final answer
    x = 11,531.56

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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.