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Finding the Fourth Proportional to 9,692.84, 14,541.70 and 3,118.88

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Solution

The fourth proportional to 9,692.84, 14,541.70 and 3,118.88 is: 4,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.84 : 14,541.70 = 3,118.88 : x
  2. Step 2: Convert to fraction form
    9,692.84/14,541.70 = 3,118.88/x
  3. Step 3: Cross multiply
    9,692.84x = 14,541.70 × 3,118.88
  4. Step 4: Simplify right side
    9,692.84x = 45,353,817.30
  5. Step 5: Solve for x
    x = 45,353,817.30/9,692.84
  6. Step 6: Final answer
    x = 4,679.11

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Why These Related Problems?

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