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Finding the Fourth Proportional to 9,287.16, 13,931.12 and 2,361.84

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Solution

The fourth proportional to 9,287.16, 13,931.12 and 2,361.84 is: 3,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.16 : 13,931.12 = 2,361.84 : x
  2. Step 2: Convert to fraction form
    9,287.16/13,931.12 = 2,361.84/x
  3. Step 3: Cross multiply
    9,287.16x = 13,931.12 × 2,361.84
  4. Step 4: Simplify right side
    9,287.16x = 32,903,076.46
  5. Step 5: Solve for x
    x = 32,903,076.46/9,287.16
  6. Step 6: Final answer
    x = 3,542.86

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Why These Related Problems?

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