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Finding the Fourth Proportional to 6,109.01, 8,430.24 and 3,314.51

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Solution

The fourth proportional to 6,109.01, 8,430.24 and 3,314.51 is: 4,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.01 : 8,430.24 = 3,314.51 : x
  2. Step 2: Convert to fraction form
    6,109.01/8,430.24 = 3,314.51/x
  3. Step 3: Cross multiply
    6,109.01x = 8,430.24 × 3,314.51
  4. Step 4: Simplify right side
    6,109.01x = 27,942,114.78
  5. Step 5: Solve for x
    x = 27,942,114.78/6,109.01
  6. Step 6: Final answer
    x = 4,573.92

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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.