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Finding the Fourth Proportional to 9,508.89, 14,259.85 and 3,267.14

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Solution

The fourth proportional to 9,508.89, 14,259.85 and 3,267.14 is: 4,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.89 : 14,259.85 = 3,267.14 : x
  2. Step 2: Convert to fraction form
    9,508.89/14,259.85 = 3,267.14/x
  3. Step 3: Cross multiply
    9,508.89x = 14,259.85 × 3,267.14
  4. Step 4: Simplify right side
    9,508.89x = 46,588,846.86
  5. Step 5: Solve for x
    x = 46,588,846.86/9,508.89
  6. Step 6: Final answer
    x = 4,899.50

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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.