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Finding the Fourth Proportional to 8,697.22, 12,982.90 and 7,646.29

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Solution

The fourth proportional to 8,697.22, 12,982.90 and 7,646.29 is: 11,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.22 : 12,982.90 = 7,646.29 : x
  2. Step 2: Convert to fraction form
    8,697.22/12,982.90 = 7,646.29/x
  3. Step 3: Cross multiply
    8,697.22x = 12,982.90 × 7,646.29
  4. Step 4: Simplify right side
    8,697.22x = 99,271,018.44
  5. Step 5: Solve for x
    x = 99,271,018.44/8,697.22
  6. Step 6: Final answer
    x = 11,414.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.