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Finding the Fourth Proportional to 9,093.64, 12,549.33 and 5,114.72

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Solution

The fourth proportional to 9,093.64, 12,549.33 and 5,114.72 is: 7,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.64 : 12,549.33 = 5,114.72 : x
  2. Step 2: Convert to fraction form
    9,093.64/12,549.33 = 5,114.72/x
  3. Step 3: Cross multiply
    9,093.64x = 12,549.33 × 5,114.72
  4. Step 4: Simplify right side
    9,093.64x = 64,186,305.22
  5. Step 5: Solve for x
    x = 64,186,305.22/9,093.64
  6. Step 6: Final answer
    x = 7,058.37

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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.