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Finding the Fourth Proportional to 6,042.17, 9,053.22 and 4,278.46

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Solution

The fourth proportional to 6,042.17, 9,053.22 and 4,278.46 is: 6,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.17 : 9,053.22 = 4,278.46 : x
  2. Step 2: Convert to fraction form
    6,042.17/9,053.22 = 4,278.46/x
  3. Step 3: Cross multiply
    6,042.17x = 9,053.22 × 4,278.46
  4. Step 4: Simplify right side
    6,042.17x = 38,733,839.64
  5. Step 5: Solve for x
    x = 38,733,839.64/6,042.17
  6. Step 6: Final answer
    x = 6,410.58

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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.