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Finding the Fourth Proportional to 9,643.56, 14,474.40 and 4,966.80

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Solution

The fourth proportional to 9,643.56, 14,474.40 and 4,966.80 is: 7,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.56 : 14,474.40 = 4,966.80 : x
  2. Step 2: Convert to fraction form
    9,643.56/14,474.40 = 4,966.80/x
  3. Step 3: Cross multiply
    9,643.56x = 14,474.40 × 4,966.80
  4. Step 4: Simplify right side
    9,643.56x = 71,891,449.92
  5. Step 5: Solve for x
    x = 71,891,449.92/9,643.56
  6. Step 6: Final answer
    x = 7,454.87

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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.