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Finding the Fourth Proportional to 9,093.68, 12,549.16 and 5,114.78

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Solution

The fourth proportional to 9,093.68, 12,549.16 and 5,114.78 is: 7,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.68 : 12,549.16 = 5,114.78 : x
  2. Step 2: Convert to fraction form
    9,093.68/12,549.16 = 5,114.78/x
  3. Step 3: Cross multiply
    9,093.68x = 12,549.16 × 5,114.78
  4. Step 4: Simplify right side
    9,093.68x = 64,186,192.58
  5. Step 5: Solve for x
    x = 64,186,192.58/9,093.68
  6. Step 6: Final answer
    x = 7,058.33

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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.