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Finding the Fourth Proportional to 6,074.34, 9,112.41 and 2,177.84

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Solution

The fourth proportional to 6,074.34, 9,112.41 and 2,177.84 is: 3,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.34 : 9,112.41 = 2,177.84 : x
  2. Step 2: Convert to fraction form
    6,074.34/9,112.41 = 2,177.84/x
  3. Step 3: Cross multiply
    6,074.34x = 9,112.41 × 2,177.84
  4. Step 4: Simplify right side
    6,074.34x = 19,845,325.43
  5. Step 5: Solve for x
    x = 19,845,325.43/6,074.34
  6. Step 6: Final answer
    x = 3,267.08

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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.