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Finding the Fourth Proportional to 9,817.90, 14,733 and 3,974.51

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Solution

The fourth proportional to 9,817.90, 14,733 and 3,974.51 is: 5,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.90 : 14,733 = 3,974.51 : x
  2. Step 2: Convert to fraction form
    9,817.90/14,733 = 3,974.51/x
  3. Step 3: Cross multiply
    9,817.90x = 14,733 × 3,974.51
  4. Step 4: Simplify right side
    9,817.90x = 58,556,455.83
  5. Step 5: Solve for x
    x = 58,556,455.83/9,817.90
  6. Step 6: Final answer
    x = 5,964.25

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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.