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Finding the Fourth Proportional to 9,643.62, 14,473.65 and 3,804.33

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Solution

The fourth proportional to 9,643.62, 14,473.65 and 3,804.33 is: 5,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.62 : 14,473.65 = 3,804.33 : x
  2. Step 2: Convert to fraction form
    9,643.62/14,473.65 = 3,804.33/x
  3. Step 3: Cross multiply
    9,643.62x = 14,473.65 × 3,804.33
  4. Step 4: Simplify right side
    9,643.62x = 55,062,540.90
  5. Step 5: Solve for x
    x = 55,062,540.90/9,643.62
  6. Step 6: Final answer
    x = 5,709.74

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1.5x scale

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.