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Finding the Fourth Proportional to 10,449.86, 14,416.84 and 6,673.20

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Solution

The fourth proportional to 10,449.86, 14,416.84 and 6,673.20 is: 9,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.86 : 14,416.84 = 6,673.20 : x
  2. Step 2: Convert to fraction form
    10,449.86/14,416.84 = 6,673.20/x
  3. Step 3: Cross multiply
    10,449.86x = 14,416.84 × 6,673.20
  4. Step 4: Simplify right side
    10,449.86x = 96,206,456.69
  5. Step 5: Solve for x
    x = 96,206,456.69/10,449.86
  6. Step 6: Final answer
    x = 9,206.48

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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.