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Finding the Fourth Proportional to 9,757.88, 14,636.82 and 2,362.34

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Solution

The fourth proportional to 9,757.88, 14,636.82 and 2,362.34 is: 3,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.88 : 14,636.82 = 2,362.34 : x
  2. Step 2: Convert to fraction form
    9,757.88/14,636.82 = 2,362.34/x
  3. Step 3: Cross multiply
    9,757.88x = 14,636.82 × 2,362.34
  4. Step 4: Simplify right side
    9,757.88x = 34,577,145.36
  5. Step 5: Solve for x
    x = 34,577,145.36/9,757.88
  6. Step 6: Final answer
    x = 3,543.51

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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.