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Finding the Fourth Proportional to 6,527.76, 9,000.36 and 5,685.36

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Solution

The fourth proportional to 6,527.76, 9,000.36 and 5,685.36 is: 7,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.76 : 9,000.36 = 5,685.36 : x
  2. Step 2: Convert to fraction form
    6,527.76/9,000.36 = 5,685.36/x
  3. Step 3: Cross multiply
    6,527.76x = 9,000.36 × 5,685.36
  4. Step 4: Simplify right side
    6,527.76x = 51,170,286.73
  5. Step 5: Solve for x
    x = 51,170,286.73/6,527.76
  6. Step 6: Final answer
    x = 7,838.87

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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.