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Finding the Fourth Proportional to 6,544.64, 9,029.13 and 4,182.68

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Solution

The fourth proportional to 6,544.64, 9,029.13 and 4,182.68 is: 5,770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.64 : 9,029.13 = 4,182.68 : x
  2. Step 2: Convert to fraction form
    6,544.64/9,029.13 = 4,182.68/x
  3. Step 3: Cross multiply
    6,544.64x = 9,029.13 × 4,182.68
  4. Step 4: Simplify right side
    6,544.64x = 37,765,961.47
  5. Step 5: Solve for x
    x = 37,765,961.47/6,544.64
  6. Step 6: Final answer
    x = 5,770.52

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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.