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Finding the Fourth Proportional to 8,829.22, 12,188.19 and 5,646.70

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Solution

The fourth proportional to 8,829.22, 12,188.19 and 5,646.70 is: 7,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.22 : 12,188.19 = 5,646.70 : x
  2. Step 2: Convert to fraction form
    8,829.22/12,188.19 = 5,646.70/x
  3. Step 3: Cross multiply
    8,829.22x = 12,188.19 × 5,646.70
  4. Step 4: Simplify right side
    8,829.22x = 68,823,052.47
  5. Step 5: Solve for x
    x = 68,823,052.47/8,829.22
  6. Step 6: Final answer
    x = 7,794.92

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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.