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Finding the Fourth Proportional to 6,102.40, 9,157.20 and 4,028.40

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Solution

The fourth proportional to 6,102.40, 9,157.20 and 4,028.40 is: 6,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.40 : 9,157.20 = 4,028.40 : x
  2. Step 2: Convert to fraction form
    6,102.40/9,157.20 = 4,028.40/x
  3. Step 3: Cross multiply
    6,102.40x = 9,157.20 × 4,028.40
  4. Step 4: Simplify right side
    6,102.40x = 36,888,864.48
  5. Step 5: Solve for x
    x = 36,888,864.48/6,102.40
  6. Step 6: Final answer
    x = 6,044.98

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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.