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Finding the Fourth Proportional to 9,839.84, 14,755.92 and 4,364

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Solution

The fourth proportional to 9,839.84, 14,755.92 and 4,364 is: 6,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.84 : 14,755.92 = 4,364 : x
  2. Step 2: Convert to fraction form
    9,839.84/14,755.92 = 4,364/x
  3. Step 3: Cross multiply
    9,839.84x = 14,755.92 × 4,364
  4. Step 4: Simplify right side
    9,839.84x = 64,394,834.88
  5. Step 5: Solve for x
    x = 64,394,834.88/9,839.84
  6. Step 6: Final answer
    x = 6,544.30

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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.