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Finding the Fourth Proportional to 34,796.39, 52,185.26 and 9,830.57

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Solution

The fourth proportional to 34,796.39, 52,185.26 and 9,830.57 is: 14,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,796.39 : 52,185.26 = 9,830.57 : x
  2. Step 2: Convert to fraction form
    34,796.39/52,185.26 = 9,830.57/x
  3. Step 3: Cross multiply
    34,796.39x = 52,185.26 × 9,830.57
  4. Step 4: Simplify right side
    34,796.39x = 513,010,615.05
  5. Step 5: Solve for x
    x = 513,010,615.05/34,796.39
  6. Step 6: Final answer
    x = 14,743.22

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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.