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Finding the Fourth Proportional to 6,897.56, 9,527.32 and 5,999.50

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Solution

The fourth proportional to 6,897.56, 9,527.32 and 5,999.50 is: 8,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.56 : 9,527.32 = 5,999.50 : x
  2. Step 2: Convert to fraction form
    6,897.56/9,527.32 = 5,999.50/x
  3. Step 3: Cross multiply
    6,897.56x = 9,527.32 × 5,999.50
  4. Step 4: Simplify right side
    6,897.56x = 57,159,175.75
  5. Step 5: Solve for x
    x = 57,159,175.75/6,897.56
  6. Step 6: Final answer
    x = 8,286.87

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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.