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Finding the Fourth Proportional to 9,308.25, 12,845.39 and 6,164.44

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Solution

The fourth proportional to 9,308.25, 12,845.39 and 6,164.44 is: 8,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.25 : 12,845.39 = 6,164.44 : x
  2. Step 2: Convert to fraction form
    9,308.25/12,845.39 = 6,164.44/x
  3. Step 3: Cross multiply
    9,308.25x = 12,845.39 × 6,164.44
  4. Step 4: Simplify right side
    9,308.25x = 79,184,573.00
  5. Step 5: Solve for x
    x = 79,184,573.00/9,308.25
  6. Step 6: Final answer
    x = 8,506.92

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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.