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Finding the Fourth Proportional to 9,635.84, 14,446.08 and 4,160

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Solution

The fourth proportional to 9,635.84, 14,446.08 and 4,160 is: 6,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.84 : 14,446.08 = 4,160 : x
  2. Step 2: Convert to fraction form
    9,635.84/14,446.08 = 4,160/x
  3. Step 3: Cross multiply
    9,635.84x = 14,446.08 × 4,160
  4. Step 4: Simplify right side
    9,635.84x = 60,095,692.80
  5. Step 5: Solve for x
    x = 60,095,692.80/9,635.84
  6. Step 6: Final answer
    x = 6,236.68

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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.