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Finding the Fourth Proportional to 9,095.37, 13,648.16 and 3,549.09

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Solution

The fourth proportional to 9,095.37, 13,648.16 and 3,549.09 is: 5,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.37 : 13,648.16 = 3,549.09 : x
  2. Step 2: Convert to fraction form
    9,095.37/13,648.16 = 3,549.09/x
  3. Step 3: Cross multiply
    9,095.37x = 13,648.16 × 3,549.09
  4. Step 4: Simplify right side
    9,095.37x = 48,438,530.43
  5. Step 5: Solve for x
    x = 48,438,530.43/9,095.37
  6. Step 6: Final answer
    x = 5,325.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.