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Finding the Fourth Proportional to 8,461.70, 12,692.55 and 6,274.70

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Solution

The fourth proportional to 8,461.70, 12,692.55 and 6,274.70 is: 9,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.70 : 12,692.55 = 6,274.70 : x
  2. Step 2: Convert to fraction form
    8,461.70/12,692.55 = 6,274.70/x
  3. Step 3: Cross multiply
    8,461.70x = 12,692.55 × 6,274.70
  4. Step 4: Simplify right side
    8,461.70x = 79,641,943.49
  5. Step 5: Solve for x
    x = 79,641,943.49/8,461.70
  6. Step 6: Final answer
    x = 9,412.05

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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.