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Finding the Fourth Proportional to 9,643.80, 14,433.30 and 6,727.80

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Solution

The fourth proportional to 9,643.80, 14,433.30 and 6,727.80 is: 10,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.80 : 14,433.30 = 6,727.80 : x
  2. Step 2: Convert to fraction form
    9,643.80/14,433.30 = 6,727.80/x
  3. Step 3: Cross multiply
    9,643.80x = 14,433.30 × 6,727.80
  4. Step 4: Simplify right side
    9,643.80x = 97,104,355.74
  5. Step 5: Solve for x
    x = 97,104,355.74/9,643.80
  6. Step 6: Final answer
    x = 10,069.10

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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.