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Finding the Fourth Proportional to 10,469.89, 14,451.81 and 6,703.20

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Solution

The fourth proportional to 10,469.89, 14,451.81 and 6,703.20 is: 9,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.89 : 14,451.81 = 6,703.20 : x
  2. Step 2: Convert to fraction form
    10,469.89/14,451.81 = 6,703.20/x
  3. Step 3: Cross multiply
    10,469.89x = 14,451.81 × 6,703.20
  4. Step 4: Simplify right side
    10,469.89x = 96,873,354.14
  5. Step 5: Solve for x
    x = 96,873,354.14/10,469.89
  6. Step 6: Final answer
    x = 9,252.57

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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.