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Finding the Fourth Proportional to 9,785.00, 13,505.03 and 5,808.31

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Solution

The fourth proportional to 9,785.00, 13,505.03 and 5,808.31 is: 8,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.00 : 13,505.03 = 5,808.31 : x
  2. Step 2: Convert to fraction form
    9,785.00/13,505.03 = 5,808.31/x
  3. Step 3: Cross multiply
    9,785.00x = 13,505.03 × 5,808.31
  4. Step 4: Simplify right side
    9,785.00x = 78,441,359.78
  5. Step 5: Solve for x
    x = 78,441,359.78/9,785.00
  6. Step 6: Final answer
    x = 8,016.49

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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.