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Finding the Fourth Proportional to 9,420.82, 14,122.59 and 3,260.50

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Solution

The fourth proportional to 9,420.82, 14,122.59 and 3,260.50 is: 4,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.82 : 14,122.59 = 3,260.50 : x
  2. Step 2: Convert to fraction form
    9,420.82/14,122.59 = 3,260.50/x
  3. Step 3: Cross multiply
    9,420.82x = 14,122.59 × 3,260.50
  4. Step 4: Simplify right side
    9,420.82x = 46,046,704.70
  5. Step 5: Solve for x
    x = 46,046,704.70/9,420.82
  6. Step 6: Final answer
    x = 4,887.76

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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.