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Finding the Fourth Proportional to 8,832.96, 12,197.40 and 6,590.96

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Solution

The fourth proportional to 8,832.96, 12,197.40 and 6,590.96 is: 9,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.96 : 12,197.40 = 6,590.96 : x
  2. Step 2: Convert to fraction form
    8,832.96/12,197.40 = 6,590.96/x
  3. Step 3: Cross multiply
    8,832.96x = 12,197.40 × 6,590.96
  4. Step 4: Simplify right side
    8,832.96x = 80,392,575.50
  5. Step 5: Solve for x
    x = 80,392,575.50/8,832.96
  6. Step 6: Final answer
    x = 9,101.43

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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.