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Finding the Fourth Proportional to 9,289.33, 12,829.92 and 6,116.81

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Solution

The fourth proportional to 9,289.33, 12,829.92 and 6,116.81 is: 8,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.33 : 12,829.92 = 6,116.81 : x
  2. Step 2: Convert to fraction form
    9,289.33/12,829.92 = 6,116.81/x
  3. Step 3: Cross multiply
    9,289.33x = 12,829.92 × 6,116.81
  4. Step 4: Simplify right side
    9,289.33x = 78,478,201.60
  5. Step 5: Solve for x
    x = 78,478,201.60/9,289.33
  6. Step 6: Final answer
    x = 8,448.21

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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.