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Finding the Fourth Proportional to 9,957.09, 13,740.71 and 5,926.67

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Solution

The fourth proportional to 9,957.09, 13,740.71 and 5,926.67 is: 8,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.09 : 13,740.71 = 5,926.67 : x
  2. Step 2: Convert to fraction form
    9,957.09/13,740.71 = 5,926.67/x
  3. Step 3: Cross multiply
    9,957.09x = 13,740.71 × 5,926.67
  4. Step 4: Simplify right side
    9,957.09x = 81,436,606.93
  5. Step 5: Solve for x
    x = 81,436,606.93/9,957.09
  6. Step 6: Final answer
    x = 8,178.75

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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.