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Finding the Fourth Proportional to 6,911.82, 9,540.48 and 4,672.20

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Solution

The fourth proportional to 6,911.82, 9,540.48 and 4,672.20 is: 6,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.82 : 9,540.48 = 4,672.20 : x
  2. Step 2: Convert to fraction form
    6,911.82/9,540.48 = 4,672.20/x
  3. Step 3: Cross multiply
    6,911.82x = 9,540.48 × 4,672.20
  4. Step 4: Simplify right side
    6,911.82x = 44,575,030.66
  5. Step 5: Solve for x
    x = 44,575,030.66/6,911.82
  6. Step 6: Final answer
    x = 6,449.10

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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.