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Finding the Fourth Proportional to 9,122.24, 13,656.70 and 8,246.75

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Solution

The fourth proportional to 9,122.24, 13,656.70 and 8,246.75 is: 12,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.24 : 13,656.70 = 8,246.75 : x
  2. Step 2: Convert to fraction form
    9,122.24/13,656.70 = 8,246.75/x
  3. Step 3: Cross multiply
    9,122.24x = 13,656.70 × 8,246.75
  4. Step 4: Simplify right side
    9,122.24x = 112,623,390.73
  5. Step 5: Solve for x
    x = 112,623,390.73/9,122.24
  6. Step 6: Final answer
    x = 12,346.02

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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.