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Finding the Fourth Proportional to 9,735.84, 14,593.23 and 3,886.02

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Solution

The fourth proportional to 9,735.84, 14,593.23 and 3,886.02 is: 5,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.84 : 14,593.23 = 3,886.02 : x
  2. Step 2: Convert to fraction form
    9,735.84/14,593.23 = 3,886.02/x
  3. Step 3: Cross multiply
    9,735.84x = 14,593.23 × 3,886.02
  4. Step 4: Simplify right side
    9,735.84x = 56,709,583.64
  5. Step 5: Solve for x
    x = 56,709,583.64/9,735.84
  6. Step 6: Final answer
    x = 5,824.83

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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.