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Finding the Fourth Proportional to 6,750.80, 9,305.32 and 4,093.20

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Solution

The fourth proportional to 6,750.80, 9,305.32 and 4,093.20 is: 5,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.80 : 9,305.32 = 4,093.20 : x
  2. Step 2: Convert to fraction form
    6,750.80/9,305.32 = 4,093.20/x
  3. Step 3: Cross multiply
    6,750.80x = 9,305.32 × 4,093.20
  4. Step 4: Simplify right side
    6,750.80x = 38,088,535.82
  5. Step 5: Solve for x
    x = 38,088,535.82/6,750.80
  6. Step 6: Final answer
    x = 5,642.08

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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.