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Finding the Fourth Proportional to 9,245.66, 13,868.49 and 8,443.76

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Solution

The fourth proportional to 9,245.66, 13,868.49 and 8,443.76 is: 12,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.66 : 13,868.49 = 8,443.76 : x
  2. Step 2: Convert to fraction form
    9,245.66/13,868.49 = 8,443.76/x
  3. Step 3: Cross multiply
    9,245.66x = 13,868.49 × 8,443.76
  4. Step 4: Simplify right side
    9,245.66x = 117,102,145.34
  5. Step 5: Solve for x
    x = 117,102,145.34/9,245.66
  6. Step 6: Final answer
    x = 12,665.64

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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.