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Finding the Fourth Proportional to 5,765.90, 7,940.18 and 5,009.33

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Solution

The fourth proportional to 5,765.90, 7,940.18 and 5,009.33 is: 6,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.90 : 7,940.18 = 5,009.33 : x
  2. Step 2: Convert to fraction form
    5,765.90/7,940.18 = 5,009.33/x
  3. Step 3: Cross multiply
    5,765.90x = 7,940.18 × 5,009.33
  4. Step 4: Simplify right side
    5,765.90x = 39,774,917.13
  5. Step 5: Solve for x
    x = 39,774,917.13/5,765.90
  6. Step 6: Final answer
    x = 6,898.31

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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.