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Finding the Fourth Proportional to 9,785.27, 13,420.65 and 9,383.41

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Solution

The fourth proportional to 9,785.27, 13,420.65 and 9,383.41 is: 12,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.27 : 13,420.65 = 9,383.41 : x
  2. Step 2: Convert to fraction form
    9,785.27/13,420.65 = 9,383.41/x
  3. Step 3: Cross multiply
    9,785.27x = 13,420.65 × 9,383.41
  4. Step 4: Simplify right side
    9,785.27x = 125,931,394.31
  5. Step 5: Solve for x
    x = 125,931,394.31/9,785.27
  6. Step 6: Final answer
    x = 12,869.49

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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.