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Finding the Fourth Proportional to 9,093.46, 12,549.34 and 5,114.56

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Solution

The fourth proportional to 9,093.46, 12,549.34 and 5,114.56 is: 7,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.46 : 12,549.34 = 5,114.56 : x
  2. Step 2: Convert to fraction form
    9,093.46/12,549.34 = 5,114.56/x
  3. Step 3: Cross multiply
    9,093.46x = 12,549.34 × 5,114.56
  4. Step 4: Simplify right side
    9,093.46x = 64,184,352.39
  5. Step 5: Solve for x
    x = 64,184,352.39/9,093.46
  6. Step 6: Final answer
    x = 7,058.30

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Why These Related Problems?

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