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Finding the Fourth Proportional to 6,526.17, 9,790.07 and 3,238.38

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Solution

The fourth proportional to 6,526.17, 9,790.07 and 3,238.38 is: 4,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.17 : 9,790.07 = 3,238.38 : x
  2. Step 2: Convert to fraction form
    6,526.17/9,790.07 = 3,238.38/x
  3. Step 3: Cross multiply
    6,526.17x = 9,790.07 × 3,238.38
  4. Step 4: Simplify right side
    6,526.17x = 31,703,950.69
  5. Step 5: Solve for x
    x = 31,703,950.69/6,526.17
  6. Step 6: Final answer
    x = 4,857.97

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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.