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Finding the Fourth Proportional to 6,076.44, 9,114.93 and 2,959.02

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Solution

The fourth proportional to 6,076.44, 9,114.93 and 2,959.02 is: 4,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.44 : 9,114.93 = 2,959.02 : x
  2. Step 2: Convert to fraction form
    6,076.44/9,114.93 = 2,959.02/x
  3. Step 3: Cross multiply
    6,076.44x = 9,114.93 × 2,959.02
  4. Step 4: Simplify right side
    6,076.44x = 26,971,260.17
  5. Step 5: Solve for x
    x = 26,971,260.17/6,076.44
  6. Step 6: Final answer
    x = 4,438.66

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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.