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Finding the Fourth Proportional to 7,089.71, 9,767.42 and 5,096.82

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Solution

The fourth proportional to 7,089.71, 9,767.42 and 5,096.82 is: 7,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.71 : 9,767.42 = 5,096.82 : x
  2. Step 2: Convert to fraction form
    7,089.71/9,767.42 = 5,096.82/x
  3. Step 3: Cross multiply
    7,089.71x = 9,767.42 × 5,096.82
  4. Step 4: Simplify right side
    7,089.71x = 49,782,781.60
  5. Step 5: Solve for x
    x = 49,782,781.60/7,089.71
  6. Step 6: Final answer
    x = 7,021.84

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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.