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Finding the Fourth Proportional to 6,281.32, 9,408.32 and 2,984.42

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Solution

The fourth proportional to 6,281.32, 9,408.32 and 2,984.42 is: 4,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.32 : 9,408.32 = 2,984.42 : x
  2. Step 2: Convert to fraction form
    6,281.32/9,408.32 = 2,984.42/x
  3. Step 3: Cross multiply
    6,281.32x = 9,408.32 × 2,984.42
  4. Step 4: Simplify right side
    6,281.32x = 28,078,378.37
  5. Step 5: Solve for x
    x = 28,078,378.37/6,281.32
  6. Step 6: Final answer
    x = 4,470.14

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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.