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Finding the Fourth Proportional to 9,731.91, 13,332.77 and 9,367.47

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Solution

The fourth proportional to 9,731.91, 13,332.77 and 9,367.47 is: 12,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.91 : 13,332.77 = 9,367.47 : x
  2. Step 2: Convert to fraction form
    9,731.91/13,332.77 = 9,367.47/x
  3. Step 3: Cross multiply
    9,731.91x = 13,332.77 × 9,367.47
  4. Step 4: Simplify right side
    9,731.91x = 124,894,322.99
  5. Step 5: Solve for x
    x = 124,894,322.99/9,731.91
  6. Step 6: Final answer
    x = 12,833.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.