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Finding the Fourth Proportional to 8,270.51, 12,393.91 and 6,412.92

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Solution

The fourth proportional to 8,270.51, 12,393.91 and 6,412.92 is: 9,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.51 : 12,393.91 = 6,412.92 : x
  2. Step 2: Convert to fraction form
    8,270.51/12,393.91 = 6,412.92/x
  3. Step 3: Cross multiply
    8,270.51x = 12,393.91 × 6,412.92
  4. Step 4: Simplify right side
    8,270.51x = 79,481,184.57
  5. Step 5: Solve for x
    x = 79,481,184.57/8,270.51
  6. Step 6: Final answer
    x = 9,610.20

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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.