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Finding the Fourth Proportional to 9,735.30, 13,434.98 and 5,958.39

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Solution

The fourth proportional to 9,735.30, 13,434.98 and 5,958.39 is: 8,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.30 : 13,434.98 = 5,958.39 : x
  2. Step 2: Convert to fraction form
    9,735.30/13,434.98 = 5,958.39/x
  3. Step 3: Cross multiply
    9,735.30x = 13,434.98 × 5,958.39
  4. Step 4: Simplify right side
    9,735.30x = 80,050,820.69
  5. Step 5: Solve for x
    x = 80,050,820.69/9,735.30
  6. Step 6: Final answer
    x = 8,222.74

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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.