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Finding the Fourth Proportional to 9,550.71, 13,176.27 and 6,007.77

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Solution

The fourth proportional to 9,550.71, 13,176.27 and 6,007.77 is: 8,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.71 : 13,176.27 = 6,007.77 : x
  2. Step 2: Convert to fraction form
    9,550.71/13,176.27 = 6,007.77/x
  3. Step 3: Cross multiply
    9,550.71x = 13,176.27 × 6,007.77
  4. Step 4: Simplify right side
    9,550.71x = 79,159,999.62
  5. Step 5: Solve for x
    x = 79,159,999.62/9,550.71
  6. Step 6: Final answer
    x = 8,288.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.