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Finding the Fourth Proportional to 9,254.54, 12,770.24 and 5,477.82

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Solution

The fourth proportional to 9,254.54, 12,770.24 and 5,477.82 is: 7,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.54 : 12,770.24 = 5,477.82 : x
  2. Step 2: Convert to fraction form
    9,254.54/12,770.24 = 5,477.82/x
  3. Step 3: Cross multiply
    9,254.54x = 12,770.24 × 5,477.82
  4. Step 4: Simplify right side
    9,254.54x = 69,953,076.08
  5. Step 5: Solve for x
    x = 69,953,076.08/9,254.54
  6. Step 6: Final answer
    x = 7,558.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.