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Finding the Fourth Proportional to 9,647.43, 13,295.69 and 7,958.58

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Solution

The fourth proportional to 9,647.43, 13,295.69 and 7,958.58 is: 10,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.43 : 13,295.69 = 7,958.58 : x
  2. Step 2: Convert to fraction form
    9,647.43/13,295.69 = 7,958.58/x
  3. Step 3: Cross multiply
    9,647.43x = 13,295.69 × 7,958.58
  4. Step 4: Simplify right side
    9,647.43x = 105,814,812.52
  5. Step 5: Solve for x
    x = 105,814,812.52/9,647.43
  6. Step 6: Final answer
    x = 10,968.19

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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.