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Finding the Fourth Proportional to 6,004.86, 9,009.45 and 2,109.30

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Solution

The fourth proportional to 6,004.86, 9,009.45 and 2,109.30 is: 3,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.86 : 9,009.45 = 2,109.30 : x
  2. Step 2: Convert to fraction form
    6,004.86/9,009.45 = 2,109.30/x
  3. Step 3: Cross multiply
    6,004.86x = 9,009.45 × 2,109.30
  4. Step 4: Simplify right side
    6,004.86x = 19,003,632.89
  5. Step 5: Solve for x
    x = 19,003,632.89/6,004.86
  6. Step 6: Final answer
    x = 3,164.71

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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.