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Finding the Fourth Proportional to 6,513.06, 9,759.32 and 5,035.89

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Solution

The fourth proportional to 6,513.06, 9,759.32 and 5,035.89 is: 7,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.06 : 9,759.32 = 5,035.89 : x
  2. Step 2: Convert to fraction form
    6,513.06/9,759.32 = 5,035.89/x
  3. Step 3: Cross multiply
    6,513.06x = 9,759.32 × 5,035.89
  4. Step 4: Simplify right side
    6,513.06x = 49,146,861.99
  5. Step 5: Solve for x
    x = 49,146,861.99/6,513.06
  6. Step 6: Final answer
    x = 7,545.89

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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.