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Finding the Fourth Proportional to 9,785.26, 13,503.74 and 5,536.35

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Solution

The fourth proportional to 9,785.26, 13,503.74 and 5,536.35 is: 7,640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.26 : 13,503.74 = 5,536.35 : x
  2. Step 2: Convert to fraction form
    9,785.26/13,503.74 = 5,536.35/x
  3. Step 3: Cross multiply
    9,785.26x = 13,503.74 × 5,536.35
  4. Step 4: Simplify right side
    9,785.26x = 74,761,418.84
  5. Step 5: Solve for x
    x = 74,761,418.84/9,785.26
  6. Step 6: Final answer
    x = 7,640.21

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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.