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Finding the Fourth Proportional to 7,077.69, 9,767.12 and 3,933.81

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Solution

The fourth proportional to 7,077.69, 9,767.12 and 3,933.81 is: 5,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.69 : 9,767.12 = 3,933.81 : x
  2. Step 2: Convert to fraction form
    7,077.69/9,767.12 = 3,933.81/x
  3. Step 3: Cross multiply
    7,077.69x = 9,767.12 × 3,933.81
  4. Step 4: Simplify right side
    7,077.69x = 38,421,974.66
  5. Step 5: Solve for x
    x = 38,421,974.66/7,077.69
  6. Step 6: Final answer
    x = 5,428.60

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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.