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Finding the Fourth Proportional to 12,254.64, 16,910.42 and 6,949.95

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Solution

The fourth proportional to 12,254.64, 16,910.42 and 6,949.95 is: 9,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.64 : 16,910.42 = 6,949.95 : x
  2. Step 2: Convert to fraction form
    12,254.64/16,910.42 = 6,949.95/x
  3. Step 3: Cross multiply
    12,254.64x = 16,910.42 × 6,949.95
  4. Step 4: Simplify right side
    12,254.64x = 117,526,538.73
  5. Step 5: Solve for x
    x = 117,526,538.73/12,254.64
  6. Step 6: Final answer
    x = 9,590.37

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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.