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Finding the Fourth Proportional to 9,974.34, 14,963.54 and 3,734.20

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Solution

The fourth proportional to 9,974.34, 14,963.54 and 3,734.20 is: 5,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.34 : 14,963.54 = 3,734.20 : x
  2. Step 2: Convert to fraction form
    9,974.34/14,963.54 = 3,734.20/x
  3. Step 3: Cross multiply
    9,974.34x = 14,963.54 × 3,734.20
  4. Step 4: Simplify right side
    9,974.34x = 55,876,851.10
  5. Step 5: Solve for x
    x = 55,876,851.10/9,974.34
  6. Step 6: Final answer
    x = 5,602.06

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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.