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Finding the Fourth Proportional to 9,537.84, 14,300.82 and 3,691.80

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Solution

The fourth proportional to 9,537.84, 14,300.82 and 3,691.80 is: 5,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.84 : 14,300.82 = 3,691.80 : x
  2. Step 2: Convert to fraction form
    9,537.84/14,300.82 = 3,691.80/x
  3. Step 3: Cross multiply
    9,537.84x = 14,300.82 × 3,691.80
  4. Step 4: Simplify right side
    9,537.84x = 52,795,767.28
  5. Step 5: Solve for x
    x = 52,795,767.28/9,537.84
  6. Step 6: Final answer
    x = 5,535.40

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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.