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Finding the Fourth Proportional to 10,449.67, 14,416.44 and 6,672.10

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Solution

The fourth proportional to 10,449.67, 14,416.44 and 6,672.10 is: 9,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.67 : 14,416.44 = 6,672.10 : x
  2. Step 2: Convert to fraction form
    10,449.67/14,416.44 = 6,672.10/x
  3. Step 3: Cross multiply
    10,449.67x = 14,416.44 × 6,672.10
  4. Step 4: Simplify right side
    10,449.67x = 96,187,929.32
  5. Step 5: Solve for x
    x = 96,187,929.32/10,449.67
  6. Step 6: Final answer
    x = 9,204.88

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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.