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Finding the Fourth Proportional to 8,142.84, 12,214.62 and 2,947.32

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Solution

The fourth proportional to 8,142.84, 12,214.62 and 2,947.32 is: 4,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.84 : 12,214.62 = 2,947.32 : x
  2. Step 2: Convert to fraction form
    8,142.84/12,214.62 = 2,947.32/x
  3. Step 3: Cross multiply
    8,142.84x = 12,214.62 × 2,947.32
  4. Step 4: Simplify right side
    8,142.84x = 36,000,393.82
  5. Step 5: Solve for x
    x = 36,000,393.82/8,142.84
  6. Step 6: Final answer
    x = 4,421.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.