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Finding the Fourth Proportional to 6,232.66, 9,330.27 and 4,042.42

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Solution

The fourth proportional to 6,232.66, 9,330.27 and 4,042.42 is: 6,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.66 : 9,330.27 = 4,042.42 : x
  2. Step 2: Convert to fraction form
    6,232.66/9,330.27 = 4,042.42/x
  3. Step 3: Cross multiply
    6,232.66x = 9,330.27 × 4,042.42
  4. Step 4: Simplify right side
    6,232.66x = 37,716,870.05
  5. Step 5: Solve for x
    x = 37,716,870.05/6,232.66
  6. Step 6: Final answer
    x = 6,051.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.