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Finding the Fourth Proportional to 9,140.76, 13,713.30 and 4,757.22

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Solution

The fourth proportional to 9,140.76, 13,713.30 and 4,757.22 is: 7,136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.76 : 13,713.30 = 4,757.22 : x
  2. Step 2: Convert to fraction form
    9,140.76/13,713.30 = 4,757.22/x
  3. Step 3: Cross multiply
    9,140.76x = 13,713.30 × 4,757.22
  4. Step 4: Simplify right side
    9,140.76x = 65,237,185.03
  5. Step 5: Solve for x
    x = 65,237,185.03/9,140.76
  6. Step 6: Final answer
    x = 7,136.95

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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.