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Finding the Fourth Proportional to 23,094.12, 34,647.09 and 6,454.20

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Solution

The fourth proportional to 23,094.12, 34,647.09 and 6,454.20 is: 9,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,094.12 : 34,647.09 = 6,454.20 : x
  2. Step 2: Convert to fraction form
    23,094.12/34,647.09 = 6,454.20/x
  3. Step 3: Cross multiply
    23,094.12x = 34,647.09 × 6,454.20
  4. Step 4: Simplify right side
    23,094.12x = 223,619,248.28
  5. Step 5: Solve for x
    x = 223,619,248.28/23,094.12
  6. Step 6: Final answer
    x = 9,682.95

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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.