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Finding the Fourth Proportional to 9,550.77, 14,315.82 and 4,007.13

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Solution

The fourth proportional to 9,550.77, 14,315.82 and 4,007.13 is: 6,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.77 : 14,315.82 = 4,007.13 : x
  2. Step 2: Convert to fraction form
    9,550.77/14,315.82 = 4,007.13/x
  3. Step 3: Cross multiply
    9,550.77x = 14,315.82 × 4,007.13
  4. Step 4: Simplify right side
    9,550.77x = 57,365,351.80
  5. Step 5: Solve for x
    x = 57,365,351.80/9,550.77
  6. Step 6: Final answer
    x = 6,006.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.