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Finding the Fourth Proportional to 9,196.21, 12,683.40 and 6,009.26

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Solution

The fourth proportional to 9,196.21, 12,683.40 and 6,009.26 is: 8,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.21 : 12,683.40 = 6,009.26 : x
  2. Step 2: Convert to fraction form
    9,196.21/12,683.40 = 6,009.26/x
  3. Step 3: Cross multiply
    9,196.21x = 12,683.40 × 6,009.26
  4. Step 4: Simplify right side
    9,196.21x = 76,217,848.28
  5. Step 5: Solve for x
    x = 76,217,848.28/9,196.21
  6. Step 6: Final answer
    x = 8,287.96

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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.