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Finding the Fourth Proportional to 9,309.47, 13,969.41 and 7,233.64

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Solution

The fourth proportional to 9,309.47, 13,969.41 and 7,233.64 is: 10,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.47 : 13,969.41 = 7,233.64 : x
  2. Step 2: Convert to fraction form
    9,309.47/13,969.41 = 7,233.64/x
  3. Step 3: Cross multiply
    9,309.47x = 13,969.41 × 7,233.64
  4. Step 4: Simplify right side
    9,309.47x = 101,049,661.59
  5. Step 5: Solve for x
    x = 101,049,661.59/9,309.47
  6. Step 6: Final answer
    x = 10,854.51

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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.