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Finding the Fourth Proportional to 9,093.74, 12,548.48 and 5,114.77

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Solution

The fourth proportional to 9,093.74, 12,548.48 and 5,114.77 is: 7,057.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.74 : 12,548.48 = 5,114.77 : x
  2. Step 2: Convert to fraction form
    9,093.74/12,548.48 = 5,114.77/x
  3. Step 3: Cross multiply
    9,093.74x = 12,548.48 × 5,114.77
  4. Step 4: Simplify right side
    9,093.74x = 64,182,532.10
  5. Step 5: Solve for x
    x = 64,182,532.10/9,093.74
  6. Step 6: Final answer
    x = 7,057.88

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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.