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Finding the Fourth Proportional to 6,546.04, 9,029.64 and 6,108.64

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Solution

The fourth proportional to 6,546.04, 9,029.64 and 6,108.64 is: 8,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.04 : 9,029.64 = 6,108.64 : x
  2. Step 2: Convert to fraction form
    6,546.04/9,029.64 = 6,108.64/x
  3. Step 3: Cross multiply
    6,546.04x = 9,029.64 × 6,108.64
  4. Step 4: Simplify right side
    6,546.04x = 55,158,820.09
  5. Step 5: Solve for x
    x = 55,158,820.09/6,546.04
  6. Step 6: Final answer
    x = 8,426.29

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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.