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Finding the Fourth Proportional to 6,536.89, 9,805.20 and 4,429.51

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Solution

The fourth proportional to 6,536.89, 9,805.20 and 4,429.51 is: 6,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.89 : 9,805.20 = 4,429.51 : x
  2. Step 2: Convert to fraction form
    6,536.89/9,805.20 = 4,429.51/x
  3. Step 3: Cross multiply
    6,536.89x = 9,805.20 × 4,429.51
  4. Step 4: Simplify right side
    6,536.89x = 43,432,215.24
  5. Step 5: Solve for x
    x = 43,432,215.24/6,536.89
  6. Step 6: Final answer
    x = 6,644.17

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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.