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Finding the Fourth Proportional to 9,287.38, 13,931.16 and 2,361.88

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Solution

The fourth proportional to 9,287.38, 13,931.16 and 2,361.88 is: 3,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.38 : 13,931.16 = 2,361.88 : x
  2. Step 2: Convert to fraction form
    9,287.38/13,931.16 = 2,361.88/x
  3. Step 3: Cross multiply
    9,287.38x = 13,931.16 × 2,361.88
  4. Step 4: Simplify right side
    9,287.38x = 32,903,728.18
  5. Step 5: Solve for x
    x = 32,903,728.18/9,287.38
  6. Step 6: Final answer
    x = 3,542.84

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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.