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Finding the Fourth Proportional to 6,077.44, 9,116.16 and 2,180.92

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Solution

The fourth proportional to 6,077.44, 9,116.16 and 2,180.92 is: 3,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.44 : 9,116.16 = 2,180.92 : x
  2. Step 2: Convert to fraction form
    6,077.44/9,116.16 = 2,180.92/x
  3. Step 3: Cross multiply
    6,077.44x = 9,116.16 × 2,180.92
  4. Step 4: Simplify right side
    6,077.44x = 19,881,615.67
  5. Step 5: Solve for x
    x = 19,881,615.67/6,077.44
  6. Step 6: Final answer
    x = 3,271.38

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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.