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Finding the Fourth Proportional to 6,844.80, 9,447.60 and 4,461.30

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Solution

The fourth proportional to 6,844.80, 9,447.60 and 4,461.30 is: 6,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.80 : 9,447.60 = 4,461.30 : x
  2. Step 2: Convert to fraction form
    6,844.80/9,447.60 = 4,461.30/x
  3. Step 3: Cross multiply
    6,844.80x = 9,447.60 × 4,461.30
  4. Step 4: Simplify right side
    6,844.80x = 42,148,577.88
  5. Step 5: Solve for x
    x = 42,148,577.88/6,844.80
  6. Step 6: Final answer
    x = 6,157.75

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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.