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Finding the Fourth Proportional to 9,970.26, 13,758.57 and 5,778.51

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Solution

The fourth proportional to 9,970.26, 13,758.57 and 5,778.51 is: 7,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.26 : 13,758.57 = 5,778.51 : x
  2. Step 2: Convert to fraction form
    9,970.26/13,758.57 = 5,778.51/x
  3. Step 3: Cross multiply
    9,970.26x = 13,758.57 × 5,778.51
  4. Step 4: Simplify right side
    9,970.26x = 79,504,034.33
  5. Step 5: Solve for x
    x = 79,504,034.33/9,970.26
  6. Step 6: Final answer
    x = 7,974.12

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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.