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Finding the Fourth Proportional to 9,634.14, 14,445.74 and 5,741.28

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Solution

The fourth proportional to 9,634.14, 14,445.74 and 5,741.28 is: 8,608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.14 : 14,445.74 = 5,741.28 : x
  2. Step 2: Convert to fraction form
    9,634.14/14,445.74 = 5,741.28/x
  3. Step 3: Cross multiply
    9,634.14x = 14,445.74 × 5,741.28
  4. Step 4: Simplify right side
    9,634.14x = 82,937,052.50
  5. Step 5: Solve for x
    x = 82,937,052.50/9,634.14
  6. Step 6: Final answer
    x = 8,608.66

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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.