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Finding the Fourth Proportional to 8,364.97, 12,549.44 and 2,442.06

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Solution

The fourth proportional to 8,364.97, 12,549.44 and 2,442.06 is: 3,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.97 : 12,549.44 = 2,442.06 : x
  2. Step 2: Convert to fraction form
    8,364.97/12,549.44 = 2,442.06/x
  3. Step 3: Cross multiply
    8,364.97x = 12,549.44 × 2,442.06
  4. Step 4: Simplify right side
    8,364.97x = 30,646,485.45
  5. Step 5: Solve for x
    x = 30,646,485.45/8,364.97
  6. Step 6: Final answer
    x = 3,663.67

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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.