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Finding the Fourth Proportional to 6,527.42, 9,008.91 and 3,696.06

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Solution

The fourth proportional to 6,527.42, 9,008.91 and 3,696.06 is: 5,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.42 : 9,008.91 = 3,696.06 : x
  2. Step 2: Convert to fraction form
    6,527.42/9,008.91 = 3,696.06/x
  3. Step 3: Cross multiply
    6,527.42x = 9,008.91 × 3,696.06
  4. Step 4: Simplify right side
    6,527.42x = 33,297,471.89
  5. Step 5: Solve for x
    x = 33,297,471.89/6,527.42
  6. Step 6: Final answer
    x = 5,101.17

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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.