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Finding the Fourth Proportional to 6,529.12, 9,009.72 and 3,695.68

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Solution

The fourth proportional to 6,529.12, 9,009.72 and 3,695.68 is: 5,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.12 : 9,009.72 = 3,695.68 : x
  2. Step 2: Convert to fraction form
    6,529.12/9,009.72 = 3,695.68/x
  3. Step 3: Cross multiply
    6,529.12x = 9,009.72 × 3,695.68
  4. Step 4: Simplify right side
    6,529.12x = 33,297,042.01
  5. Step 5: Solve for x
    x = 33,297,042.01/6,529.12
  6. Step 6: Final answer
    x = 5,099.77

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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.