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Finding the Fourth Proportional to 9,757.77, 14,636.69 and 2,362.22

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Solution

The fourth proportional to 9,757.77, 14,636.69 and 2,362.22 is: 3,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.77 : 14,636.69 = 2,362.22 : x
  2. Step 2: Convert to fraction form
    9,757.77/14,636.69 = 2,362.22/x
  3. Step 3: Cross multiply
    9,757.77x = 14,636.69 × 2,362.22
  4. Step 4: Simplify right side
    9,757.77x = 34,575,073.89
  5. Step 5: Solve for x
    x = 34,575,073.89/9,757.77
  6. Step 6: Final answer
    x = 3,543.34

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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.