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Finding the Fourth Proportional to 6,394.12, 9,577.30 and 3,100.30

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Solution

The fourth proportional to 6,394.12, 9,577.30 and 3,100.30 is: 4,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.12 : 9,577.30 = 3,100.30 : x
  2. Step 2: Convert to fraction form
    6,394.12/9,577.30 = 3,100.30/x
  3. Step 3: Cross multiply
    6,394.12x = 9,577.30 × 3,100.30
  4. Step 4: Simplify right side
    6,394.12x = 29,692,503.19
  5. Step 5: Solve for x
    x = 29,692,503.19/6,394.12
  6. Step 6: Final answer
    x = 4,643.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.