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Finding the Fourth Proportional to 9,502.99, 14,241.93 and 6,879.27

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Solution

The fourth proportional to 9,502.99, 14,241.93 and 6,879.27 is: 10,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.99 : 14,241.93 = 6,879.27 : x
  2. Step 2: Convert to fraction form
    9,502.99/14,241.93 = 6,879.27/x
  3. Step 3: Cross multiply
    9,502.99x = 14,241.93 × 6,879.27
  4. Step 4: Simplify right side
    9,502.99x = 97,974,081.79
  5. Step 5: Solve for x
    x = 97,974,081.79/9,502.99
  6. Step 6: Final answer
    x = 10,309.82

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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.