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Finding the Fourth Proportional to 6,851.64, 9,455.24 and 3,867.46

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Solution

The fourth proportional to 6,851.64, 9,455.24 and 3,867.46 is: 5,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.64 : 9,455.24 = 3,867.46 : x
  2. Step 2: Convert to fraction form
    6,851.64/9,455.24 = 3,867.46/x
  3. Step 3: Cross multiply
    6,851.64x = 9,455.24 × 3,867.46
  4. Step 4: Simplify right side
    6,851.64x = 36,567,762.49
  5. Step 5: Solve for x
    x = 36,567,762.49/6,851.64
  6. Step 6: Final answer
    x = 5,337.08

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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.