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Finding the Fourth Proportional to 6,654.42, 9,190.94 and 4,412.41

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Solution

The fourth proportional to 6,654.42, 9,190.94 and 4,412.41 is: 6,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.42 : 9,190.94 = 4,412.41 : x
  2. Step 2: Convert to fraction form
    6,654.42/9,190.94 = 4,412.41/x
  3. Step 3: Cross multiply
    6,654.42x = 9,190.94 × 4,412.41
  4. Step 4: Simplify right side
    6,654.42x = 40,554,150.53
  5. Step 5: Solve for x
    x = 40,554,150.53/6,654.42
  6. Step 6: Final answer
    x = 6,094.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.