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Finding the Fourth Proportional to 8,317.23, 12,446.64 and 6,456.48

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Solution

The fourth proportional to 8,317.23, 12,446.64 and 6,456.48 is: 9,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.23 : 12,446.64 = 6,456.48 : x
  2. Step 2: Convert to fraction form
    8,317.23/12,446.64 = 6,456.48/x
  3. Step 3: Cross multiply
    8,317.23x = 12,446.64 × 6,456.48
  4. Step 4: Simplify right side
    8,317.23x = 80,361,482.23
  5. Step 5: Solve for x
    x = 80,361,482.23/8,317.23
  6. Step 6: Final answer
    x = 9,662.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.