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Finding the Fourth Proportional to 7,076.93, 9,766.66 and 3,933.32

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Solution

The fourth proportional to 7,076.93, 9,766.66 and 3,933.32 is: 5,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.93 : 9,766.66 = 3,933.32 : x
  2. Step 2: Convert to fraction form
    7,076.93/9,766.66 = 3,933.32/x
  3. Step 3: Cross multiply
    7,076.93x = 9,766.66 × 3,933.32
  4. Step 4: Simplify right side
    7,076.93x = 38,415,399.11
  5. Step 5: Solve for x
    x = 38,415,399.11/7,076.93
  6. Step 6: Final answer
    x = 5,428.26

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Why These Related Problems?

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