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Finding the Fourth Proportional to 9,757.96, 14,639.10 and 4,561

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Solution

The fourth proportional to 9,757.96, 14,639.10 and 4,561 is: 6,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.96 : 14,639.10 = 4,561 : x
  2. Step 2: Convert to fraction form
    9,757.96/14,639.10 = 4,561/x
  3. Step 3: Cross multiply
    9,757.96x = 14,639.10 × 4,561
  4. Step 4: Simplify right side
    9,757.96x = 66,768,935.10
  5. Step 5: Solve for x
    x = 66,768,935.10/9,757.96
  6. Step 6: Final answer
    x = 6,842.51

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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.