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Finding the Fourth Proportional to 6,536.90, 9,809.55 and 3,617.30

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Solution

The fourth proportional to 6,536.90, 9,809.55 and 3,617.30 is: 5,428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.90 : 9,809.55 = 3,617.30 : x
  2. Step 2: Convert to fraction form
    6,536.90/9,809.55 = 3,617.30/x
  3. Step 3: Cross multiply
    6,536.90x = 9,809.55 × 3,617.30
  4. Step 4: Simplify right side
    6,536.90x = 35,484,085.22
  5. Step 5: Solve for x
    x = 35,484,085.22/6,536.90
  6. Step 6: Final answer
    x = 5,428.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.