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Finding the Fourth Proportional to 9,638.31, 14,458.62 and 3,397.03

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Solution

The fourth proportional to 9,638.31, 14,458.62 and 3,397.03 is: 5,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.31 : 14,458.62 = 3,397.03 : x
  2. Step 2: Convert to fraction form
    9,638.31/14,458.62 = 3,397.03/x
  3. Step 3: Cross multiply
    9,638.31x = 14,458.62 × 3,397.03
  4. Step 4: Simplify right side
    9,638.31x = 49,116,365.90
  5. Step 5: Solve for x
    x = 49,116,365.90/9,638.31
  6. Step 6: Final answer
    x = 5,095.95

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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.