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Finding the Fourth Proportional to 9,108.01, 13,662.02 and 5,209.68

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Solution

The fourth proportional to 9,108.01, 13,662.02 and 5,209.68 is: 7,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.01 : 13,662.02 = 5,209.68 : x
  2. Step 2: Convert to fraction form
    9,108.01/13,662.02 = 5,209.68/x
  3. Step 3: Cross multiply
    9,108.01x = 13,662.02 × 5,209.68
  4. Step 4: Simplify right side
    9,108.01x = 71,174,752.35
  5. Step 5: Solve for x
    x = 71,174,752.35/9,108.01
  6. Step 6: Final answer
    x = 7,814.52

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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.