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Finding the Fourth Proportional to 9,969.30, 14,954.49 and 3,730.95

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Solution

The fourth proportional to 9,969.30, 14,954.49 and 3,730.95 is: 5,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.30 : 14,954.49 = 3,730.95 : x
  2. Step 2: Convert to fraction form
    9,969.30/14,954.49 = 3,730.95/x
  3. Step 3: Cross multiply
    9,969.30x = 14,954.49 × 3,730.95
  4. Step 4: Simplify right side
    9,969.30x = 55,794,454.47
  5. Step 5: Solve for x
    x = 55,794,454.47/9,969.30
  6. Step 6: Final answer
    x = 5,596.63

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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.