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Finding the Fourth Proportional to 6,142.12, 8,476.14 and 3,347.80

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Solution

The fourth proportional to 6,142.12, 8,476.14 and 3,347.80 is: 4,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.12 : 8,476.14 = 3,347.80 : x
  2. Step 2: Convert to fraction form
    6,142.12/8,476.14 = 3,347.80/x
  3. Step 3: Cross multiply
    6,142.12x = 8,476.14 × 3,347.80
  4. Step 4: Simplify right side
    6,142.12x = 28,376,421.49
  5. Step 5: Solve for x
    x = 28,376,421.49/6,142.12
  6. Step 6: Final answer
    x = 4,619.97

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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.