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Finding the Fourth Proportional to 9,262.70, 12,782.44 and 5,013.68

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Solution

The fourth proportional to 9,262.70, 12,782.44 and 5,013.68 is: 6,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.70 : 12,782.44 = 5,013.68 : x
  2. Step 2: Convert to fraction form
    9,262.70/12,782.44 = 5,013.68/x
  3. Step 3: Cross multiply
    9,262.70x = 12,782.44 × 5,013.68
  4. Step 4: Simplify right side
    9,262.70x = 64,086,987.33
  5. Step 5: Solve for x
    x = 64,086,987.33/9,262.70
  6. Step 6: Final answer
    x = 6,918.82

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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.