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Finding the Fourth Proportional to 9,755.84, 14,638.20 and 4,135.05

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Solution

The fourth proportional to 9,755.84, 14,638.20 and 4,135.05 is: 6,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.84 : 14,638.20 = 4,135.05 : x
  2. Step 2: Convert to fraction form
    9,755.84/14,638.20 = 4,135.05/x
  3. Step 3: Cross multiply
    9,755.84x = 14,638.20 × 4,135.05
  4. Step 4: Simplify right side
    9,755.84x = 60,529,595.04
  5. Step 5: Solve for x
    x = 60,529,595.04/9,755.84
  6. Step 6: Final answer
    x = 6,204.45

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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.