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Finding the Fourth Proportional to 9,785.91, 13,504.16 and 5,309.49

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Solution

The fourth proportional to 9,785.91, 13,504.16 and 5,309.49 is: 7,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.91 : 13,504.16 = 5,309.49 : x
  2. Step 2: Convert to fraction form
    9,785.91/13,504.16 = 5,309.49/x
  3. Step 3: Cross multiply
    9,785.91x = 13,504.16 × 5,309.49
  4. Step 4: Simplify right side
    9,785.91x = 71,700,125.29
  5. Step 5: Solve for x
    x = 71,700,125.29/9,785.91
  6. Step 6: Final answer
    x = 7,326.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.