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Finding the Fourth Proportional to 6,103.04, 9,154.53 and 2,549.16

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Solution

The fourth proportional to 6,103.04, 9,154.53 and 2,549.16 is: 3,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.04 : 9,154.53 = 2,549.16 : x
  2. Step 2: Convert to fraction form
    6,103.04/9,154.53 = 2,549.16/x
  3. Step 3: Cross multiply
    6,103.04x = 9,154.53 × 2,549.16
  4. Step 4: Simplify right side
    6,103.04x = 23,336,361.69
  5. Step 5: Solve for x
    x = 23,336,361.69/6,103.04
  6. Step 6: Final answer
    x = 3,823.73

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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.