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Finding the Fourth Proportional to 9,548.22, 14,323.09 and 3,627.94

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Solution

The fourth proportional to 9,548.22, 14,323.09 and 3,627.94 is: 5,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.22 : 14,323.09 = 3,627.94 : x
  2. Step 2: Convert to fraction form
    9,548.22/14,323.09 = 3,627.94/x
  3. Step 3: Cross multiply
    9,548.22x = 14,323.09 × 3,627.94
  4. Step 4: Simplify right side
    9,548.22x = 51,963,305.02
  5. Step 5: Solve for x
    x = 51,963,305.02/9,548.22
  6. Step 6: Final answer
    x = 5,442.20

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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.