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Finding the Fourth Proportional to 6,597.18, 9,882.96 and 5,896.14

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Solution

The fourth proportional to 6,597.18, 9,882.96 and 5,896.14 is: 8,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.18 : 9,882.96 = 5,896.14 : x
  2. Step 2: Convert to fraction form
    6,597.18/9,882.96 = 5,896.14/x
  3. Step 3: Cross multiply
    6,597.18x = 9,882.96 × 5,896.14
  4. Step 4: Simplify right side
    6,597.18x = 58,271,315.77
  5. Step 5: Solve for x
    x = 58,271,315.77/6,597.18
  6. Step 6: Final answer
    x = 8,832.76

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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.