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Finding the Fourth Proportional to 7,086.26, 9,781.08 and 4,735.24

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Solution

The fourth proportional to 7,086.26, 9,781.08 and 4,735.24 is: 6,536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.26 : 9,781.08 = 4,735.24 : x
  2. Step 2: Convert to fraction form
    7,086.26/9,781.08 = 4,735.24/x
  3. Step 3: Cross multiply
    7,086.26x = 9,781.08 × 4,735.24
  4. Step 4: Simplify right side
    7,086.26x = 46,315,761.26
  5. Step 5: Solve for x
    x = 46,315,761.26/7,086.26
  6. Step 6: Final answer
    x = 6,536.00

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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.