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Finding the Fourth Proportional to 6,141.30, 9,211.95 and 6,104.85

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Solution

The fourth proportional to 6,141.30, 9,211.95 and 6,104.85 is: 9,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.30 : 9,211.95 = 6,104.85 : x
  2. Step 2: Convert to fraction form
    6,141.30/9,211.95 = 6,104.85/x
  3. Step 3: Cross multiply
    6,141.30x = 9,211.95 × 6,104.85
  4. Step 4: Simplify right side
    6,141.30x = 56,237,572.96
  5. Step 5: Solve for x
    x = 56,237,572.96/6,141.30
  6. Step 6: Final answer
    x = 9,157.28

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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.