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Finding the Fourth Proportional to 6,852.01, 9,455.75 and 3,867.81

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Solution

The fourth proportional to 6,852.01, 9,455.75 and 3,867.81 is: 5,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.01 : 9,455.75 = 3,867.81 : x
  2. Step 2: Convert to fraction form
    6,852.01/9,455.75 = 3,867.81/x
  3. Step 3: Cross multiply
    6,852.01x = 9,455.75 × 3,867.81
  4. Step 4: Simplify right side
    6,852.01x = 36,573,025.07
  5. Step 5: Solve for x
    x = 36,573,025.07/6,852.01
  6. Step 6: Final answer
    x = 5,337.56

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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.