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Finding the Fourth Proportional to 9,957.88, 14,936.46 and 3,032.20

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Solution

The fourth proportional to 9,957.88, 14,936.46 and 3,032.20 is: 4,548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.88 : 14,936.46 = 3,032.20 : x
  2. Step 2: Convert to fraction form
    9,957.88/14,936.46 = 3,032.20/x
  3. Step 3: Cross multiply
    9,957.88x = 14,936.46 × 3,032.20
  4. Step 4: Simplify right side
    9,957.88x = 45,290,334.01
  5. Step 5: Solve for x
    x = 45,290,334.01/9,957.88
  6. Step 6: Final answer
    x = 4,548.19

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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.