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Finding the Fourth Proportional to 9,765.96, 14,651.10 and 2,841

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Solution

The fourth proportional to 9,765.96, 14,651.10 and 2,841 is: 4,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.96 : 14,651.10 = 2,841 : x
  2. Step 2: Convert to fraction form
    9,765.96/14,651.10 = 2,841/x
  3. Step 3: Cross multiply
    9,765.96x = 14,651.10 × 2,841
  4. Step 4: Simplify right side
    9,765.96x = 41,623,775.10
  5. Step 5: Solve for x
    x = 41,623,775.10/9,765.96
  6. Step 6: Final answer
    x = 4,262.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.