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Finding the Fourth Proportional to 9,550.51, 13,177 and 6,193.46

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Solution

The fourth proportional to 9,550.51, 13,177 and 6,193.46 is: 8,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.51 : 13,177 = 6,193.46 : x
  2. Step 2: Convert to fraction form
    9,550.51/13,177 = 6,193.46/x
  3. Step 3: Cross multiply
    9,550.51x = 13,177 × 6,193.46
  4. Step 4: Simplify right side
    9,550.51x = 81,611,222.42
  5. Step 5: Solve for x
    x = 81,611,222.42/9,550.51
  6. Step 6: Final answer
    x = 8,545.22

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