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Finding the Fourth Proportional to 9,225.12, 13,827.22 and 8,112.39

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Solution

The fourth proportional to 9,225.12, 13,827.22 and 8,112.39 is: 12,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.12 : 13,827.22 = 8,112.39 : x
  2. Step 2: Convert to fraction form
    9,225.12/13,827.22 = 8,112.39/x
  3. Step 3: Cross multiply
    9,225.12x = 13,827.22 × 8,112.39
  4. Step 4: Simplify right side
    9,225.12x = 112,171,801.26
  5. Step 5: Solve for x
    x = 112,171,801.26/9,225.12
  6. Step 6: Final answer
    x = 12,159.39

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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.