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Finding the Fourth Proportional to 9,735.83, 13,435.94 and 5,957.81

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Solution

The fourth proportional to 9,735.83, 13,435.94 and 5,957.81 is: 8,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.83 : 13,435.94 = 5,957.81 : x
  2. Step 2: Convert to fraction form
    9,735.83/13,435.94 = 5,957.81/x
  3. Step 3: Cross multiply
    9,735.83x = 13,435.94 × 5,957.81
  4. Step 4: Simplify right side
    9,735.83x = 80,048,777.69
  5. Step 5: Solve for x
    x = 80,048,777.69/9,735.83
  6. Step 6: Final answer
    x = 8,222.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.