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Finding the Fourth Proportional to 9,797.30, 14,689.56 and 3,556.14

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Solution

The fourth proportional to 9,797.30, 14,689.56 and 3,556.14 is: 5,331.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.30 : 14,689.56 = 3,556.14 : x
  2. Step 2: Convert to fraction form
    9,797.30/14,689.56 = 3,556.14/x
  3. Step 3: Cross multiply
    9,797.30x = 14,689.56 × 3,556.14
  4. Step 4: Simplify right side
    9,797.30x = 52,238,131.90
  5. Step 5: Solve for x
    x = 52,238,131.90/9,797.30
  6. Step 6: Final answer
    x = 5,331.89

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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.