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Finding the Fourth Proportional to 9,093.62, 12,548.30 and 5,114.64

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Solution

The fourth proportional to 9,093.62, 12,548.30 and 5,114.64 is: 7,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.62 : 12,548.30 = 5,114.64 : x
  2. Step 2: Convert to fraction form
    9,093.62/12,548.30 = 5,114.64/x
  3. Step 3: Cross multiply
    9,093.62x = 12,548.30 × 5,114.64
  4. Step 4: Simplify right side
    9,093.62x = 64,180,037.11
  5. Step 5: Solve for x
    x = 64,180,037.11/9,093.62
  6. Step 6: Final answer
    x = 7,057.70

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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.