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Finding the Fourth Proportional to 6,527.62, 9,809.51 and 6,369.37

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Solution

The fourth proportional to 6,527.62, 9,809.51 and 6,369.37 is: 9,571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.62 : 9,809.51 = 6,369.37 : x
  2. Step 2: Convert to fraction form
    6,527.62/9,809.51 = 6,369.37/x
  3. Step 3: Cross multiply
    6,527.62x = 9,809.51 × 6,369.37
  4. Step 4: Simplify right side
    6,527.62x = 62,480,342.34
  5. Step 5: Solve for x
    x = 62,480,342.34/6,527.62
  6. Step 6: Final answer
    x = 9,571.69

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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.