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Finding the Fourth Proportional to 9,744.81, 13,448.88 and 5,970.48

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Solution

The fourth proportional to 9,744.81, 13,448.88 and 5,970.48 is: 8,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.81 : 13,448.88 = 5,970.48 : x
  2. Step 2: Convert to fraction form
    9,744.81/13,448.88 = 5,970.48/x
  3. Step 3: Cross multiply
    9,744.81x = 13,448.88 × 5,970.48
  4. Step 4: Simplify right side
    9,744.81x = 80,296,269.06
  5. Step 5: Solve for x
    x = 80,296,269.06/9,744.81
  6. Step 6: Final answer
    x = 8,239.90

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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.