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Finding the Fourth Proportional to 8,164.06, 12,226.64 and 6,301.60

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Solution

The fourth proportional to 8,164.06, 12,226.64 and 6,301.60 is: 9,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.06 : 12,226.64 = 6,301.60 : x
  2. Step 2: Convert to fraction form
    8,164.06/12,226.64 = 6,301.60/x
  3. Step 3: Cross multiply
    8,164.06x = 12,226.64 × 6,301.60
  4. Step 4: Simplify right side
    8,164.06x = 77,047,394.62
  5. Step 5: Solve for x
    x = 77,047,394.62/8,164.06
  6. Step 6: Final answer
    x = 9,437.39

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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.