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Finding the Fourth Proportional to 9,785.28, 13,485.03 and 9,605.33

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Solution

The fourth proportional to 9,785.28, 13,485.03 and 9,605.33 is: 13,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.28 : 13,485.03 = 9,605.33 : x
  2. Step 2: Convert to fraction form
    9,785.28/13,485.03 = 9,605.33/x
  3. Step 3: Cross multiply
    9,785.28x = 13,485.03 × 9,605.33
  4. Step 4: Simplify right side
    9,785.28x = 129,528,095.78
  5. Step 5: Solve for x
    x = 129,528,095.78/9,785.28
  6. Step 6: Final answer
    x = 13,237.04

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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.