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Finding the Fourth Proportional to 9,427.76, 14,072.72 and 8,742.48

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Solution

The fourth proportional to 9,427.76, 14,072.72 and 8,742.48 is: 13,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.76 : 14,072.72 = 8,742.48 : x
  2. Step 2: Convert to fraction form
    9,427.76/14,072.72 = 8,742.48/x
  3. Step 3: Cross multiply
    9,427.76x = 14,072.72 × 8,742.48
  4. Step 4: Simplify right side
    9,427.76x = 123,030,473.15
  5. Step 5: Solve for x
    x = 123,030,473.15/9,427.76
  6. Step 6: Final answer
    x = 13,049.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.