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Finding the Fourth Proportional to 6,536.84, 9,020.34 and 3,703.88

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Solution

The fourth proportional to 6,536.84, 9,020.34 and 3,703.88 is: 5,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.84 : 9,020.34 = 3,703.88 : x
  2. Step 2: Convert to fraction form
    6,536.84/9,020.34 = 3,703.88/x
  3. Step 3: Cross multiply
    6,536.84x = 9,020.34 × 3,703.88
  4. Step 4: Simplify right side
    6,536.84x = 33,410,256.92
  5. Step 5: Solve for x
    x = 33,410,256.92/6,536.84
  6. Step 6: Final answer
    x = 5,111.07

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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.