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Finding the Fourth Proportional to 9,346.83, 14,017.84 and 2,771.47

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Solution

The fourth proportional to 9,346.83, 14,017.84 and 2,771.47 is: 4,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.83 : 14,017.84 = 2,771.47 : x
  2. Step 2: Convert to fraction form
    9,346.83/14,017.84 = 2,771.47/x
  3. Step 3: Cross multiply
    9,346.83x = 14,017.84 × 2,771.47
  4. Step 4: Simplify right side
    9,346.83x = 38,850,033.62
  5. Step 5: Solve for x
    x = 38,850,033.62/9,346.83
  6. Step 6: Final answer
    x = 4,156.49

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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.