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Finding the Fourth Proportional to 6,274.20, 9,412.88 and 4,428.92

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Solution

The fourth proportional to 6,274.20, 9,412.88 and 4,428.92 is: 6,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.20 : 9,412.88 = 4,428.92 : x
  2. Step 2: Convert to fraction form
    6,274.20/9,412.88 = 4,428.92/x
  3. Step 3: Cross multiply
    6,274.20x = 9,412.88 × 4,428.92
  4. Step 4: Simplify right side
    6,274.20x = 41,688,892.49
  5. Step 5: Solve for x
    x = 41,688,892.49/6,274.20
  6. Step 6: Final answer
    x = 6,644.50

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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.