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Finding the Fourth Proportional to 6,633.46, 9,148.44 and 5,141.44

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Solution

The fourth proportional to 6,633.46, 9,148.44 and 5,141.44 is: 7,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.46 : 9,148.44 = 5,141.44 : x
  2. Step 2: Convert to fraction form
    6,633.46/9,148.44 = 5,141.44/x
  3. Step 3: Cross multiply
    6,633.46x = 9,148.44 × 5,141.44
  4. Step 4: Simplify right side
    6,633.46x = 47,036,155.35
  5. Step 5: Solve for x
    x = 47,036,155.35/6,633.46
  6. Step 6: Final answer
    x = 7,090.74

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