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Finding the Fourth Proportional to 6,462.12, 8,911.62 and 4,342.44

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Solution

The fourth proportional to 6,462.12, 8,911.62 and 4,342.44 is: 5,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.12 : 8,911.62 = 4,342.44 : x
  2. Step 2: Convert to fraction form
    6,462.12/8,911.62 = 4,342.44/x
  3. Step 3: Cross multiply
    6,462.12x = 8,911.62 × 4,342.44
  4. Step 4: Simplify right side
    6,462.12x = 38,698,175.15
  5. Step 5: Solve for x
    x = 38,698,175.15/6,462.12
  6. Step 6: Final answer
    x = 5,988.46

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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.