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Finding the Fourth Proportional to 9,785.96, 13,504.32 and 5,536.70

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Solution

The fourth proportional to 9,785.96, 13,504.32 and 5,536.70 is: 7,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.96 : 13,504.32 = 5,536.70 : x
  2. Step 2: Convert to fraction form
    9,785.96/13,504.32 = 5,536.70/x
  3. Step 3: Cross multiply
    9,785.96x = 13,504.32 × 5,536.70
  4. Step 4: Simplify right side
    9,785.96x = 74,769,368.54
  5. Step 5: Solve for x
    x = 74,769,368.54/9,785.96
  6. Step 6: Final answer
    x = 7,640.47

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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.