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Finding the Fourth Proportional to 6,467.24, 8,924.70 and 4,232.84

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Solution

The fourth proportional to 6,467.24, 8,924.70 and 4,232.84 is: 5,841.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.24 : 8,924.70 = 4,232.84 : x
  2. Step 2: Convert to fraction form
    6,467.24/8,924.70 = 4,232.84/x
  3. Step 3: Cross multiply
    6,467.24x = 8,924.70 × 4,232.84
  4. Step 4: Simplify right side
    6,467.24x = 37,776,827.15
  5. Step 5: Solve for x
    x = 37,776,827.15/6,467.24
  6. Step 6: Final answer
    x = 5,841.26

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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.