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Finding the Fourth Proportional to 6,194.45, 9,278.54 and 4,871.93

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Solution

The fourth proportional to 6,194.45, 9,278.54 and 4,871.93 is: 7,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.45 : 9,278.54 = 4,871.93 : x
  2. Step 2: Convert to fraction form
    6,194.45/9,278.54 = 4,871.93/x
  3. Step 3: Cross multiply
    6,194.45x = 9,278.54 × 4,871.93
  4. Step 4: Simplify right side
    6,194.45x = 45,204,326.63
  5. Step 5: Solve for x
    x = 45,204,326.63/6,194.45
  6. Step 6: Final answer
    x = 7,297.56

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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.