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Finding the Fourth Proportional to 6,424.14, 8,867.76 and 4,186.56

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Solution

The fourth proportional to 6,424.14, 8,867.76 and 4,186.56 is: 5,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.14 : 8,867.76 = 4,186.56 : x
  2. Step 2: Convert to fraction form
    6,424.14/8,867.76 = 4,186.56/x
  3. Step 3: Cross multiply
    6,424.14x = 8,867.76 × 4,186.56
  4. Step 4: Simplify right side
    6,424.14x = 37,125,450.41
  5. Step 5: Solve for x
    x = 37,125,450.41/6,424.14
  6. Step 6: Final answer
    x = 5,779.06

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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.