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Finding the Fourth Proportional to 9,093.87, 12,549.41 and 5,114.98

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Solution

The fourth proportional to 9,093.87, 12,549.41 and 5,114.98 is: 7,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.87 : 12,549.41 = 5,114.98 : x
  2. Step 2: Convert to fraction form
    9,093.87/12,549.41 = 5,114.98/x
  3. Step 3: Cross multiply
    9,093.87x = 12,549.41 × 5,114.98
  4. Step 4: Simplify right side
    9,093.87x = 64,189,962.58
  5. Step 5: Solve for x
    x = 64,189,962.58/9,093.87
  6. Step 6: Final answer
    x = 7,058.60

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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.