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Finding the Fourth Proportional to 9,643.73, 14,465.43 and 3,069.84

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Solution

The fourth proportional to 9,643.73, 14,465.43 and 3,069.84 is: 4,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.73 : 14,465.43 = 3,069.84 : x
  2. Step 2: Convert to fraction form
    9,643.73/14,465.43 = 3,069.84/x
  3. Step 3: Cross multiply
    9,643.73x = 14,465.43 × 3,069.84
  4. Step 4: Simplify right side
    9,643.73x = 44,406,555.63
  5. Step 5: Solve for x
    x = 44,406,555.63/9,643.73
  6. Step 6: Final answer
    x = 4,604.71

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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.