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Finding the Fourth Proportional to 9,093.49, 12,549.03 and 5,114.68

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Solution

The fourth proportional to 9,093.49, 12,549.03 and 5,114.68 is: 7,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.49 : 12,549.03 = 5,114.68 : x
  2. Step 2: Convert to fraction form
    9,093.49/12,549.03 = 5,114.68/x
  3. Step 3: Cross multiply
    9,093.49x = 12,549.03 × 5,114.68
  4. Step 4: Simplify right side
    9,093.49x = 64,184,272.76
  5. Step 5: Solve for x
    x = 64,184,272.76/9,093.49
  6. Step 6: Final answer
    x = 7,058.27

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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.