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Finding the Fourth Proportional to 9,735.39, 14,599.04 and 4,185.81

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Solution

The fourth proportional to 9,735.39, 14,599.04 and 4,185.81 is: 6,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.39 : 14,599.04 = 4,185.81 : x
  2. Step 2: Convert to fraction form
    9,735.39/14,599.04 = 4,185.81/x
  3. Step 3: Cross multiply
    9,735.39x = 14,599.04 × 4,185.81
  4. Step 4: Simplify right side
    9,735.39x = 61,108,786.69
  5. Step 5: Solve for x
    x = 61,108,786.69/9,735.39
  6. Step 6: Final answer
    x = 6,276.97

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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.