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Finding the Fourth Proportional to 9,093.46, 12,548.64 and 5,114.80

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Solution

The fourth proportional to 9,093.46, 12,548.64 and 5,114.80 is: 7,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.46 : 12,548.64 = 5,114.80 : x
  2. Step 2: Convert to fraction form
    9,093.46/12,548.64 = 5,114.80/x
  3. Step 3: Cross multiply
    9,093.46x = 12,548.64 × 5,114.80
  4. Step 4: Simplify right side
    9,093.46x = 64,183,783.87
  5. Step 5: Solve for x
    x = 64,183,783.87/9,093.46
  6. Step 6: Final answer
    x = 7,058.24

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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.