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Finding the Fourth Proportional to 9,785.60, 13,504.01 and 5,309.34

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Solution

The fourth proportional to 9,785.60, 13,504.01 and 5,309.34 is: 7,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.60 : 13,504.01 = 5,309.34 : x
  2. Step 2: Convert to fraction form
    9,785.60/13,504.01 = 5,309.34/x
  3. Step 3: Cross multiply
    9,785.60x = 13,504.01 × 5,309.34
  4. Step 4: Simplify right side
    9,785.60x = 71,697,380.45
  5. Step 5: Solve for x
    x = 71,697,380.45/9,785.60
  6. Step 6: Final answer
    x = 7,326.83

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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.